Find the equation of the line with slope −7 which goes through the point (−5,5).
Give your answer in slope-intercept form y=mx+b.

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf y= -7x -30}}[/tex]

Step-by-step explanation:

We are asked to find the equation of a line,  given a point and a slope.

We can use the point-slope formula:

[tex]y-y_1= m(x-x_1)[/tex]

In this formula, (x₁, y₁) is the point and m is the slope. This line has a slope of -7 and passes through the point (-5,5). Therefore:

x₁ = -5 y₁= 5 m= -7

Substitute the values into the formula.

[tex]y-5= -7 (x- -5)[/tex]

[tex]y-5= -7(x+5)[/tex]

We want to give the answer in slope-intercept form, or y=mx+b. We must isolate the variable y.

First, distribute the -7 on the right side of the equation. Multiply each term inside the parentheses by -7.

[tex]y-5= (-7*x) + (-7*5)\\y-5 = (-7x) + (-35) \\y-5= -7x -35[/tex]

5 is being subtracted from y. The inverse operation of subtraction is addition. Add 5 to both sides of the equation.

[tex]y-5+5 =-7x -35 +5 \\y= -7x -35 +5 \\y= -7x +30[/tex]

The equation of the line is y= -7x+30.


Related Questions

Here's Robert's spending diary for one week. It may not look like he's spending much. Use a calculator to add up Robert's total spending for the week. Monday Tuesday Wednesday Thursday Friday Saturday Sunday Lunch $7.00 Shampoo $6.00 Lunch $7.00 Jacket $40.00 Lunch $7.00 Breakfast $4.50 Coffee $2.00 Bus $3.00 CD $14.00 Lunch $7.00 Lunch $7.00 Movie $12.00 Haircut $40.00 Total: $21.00 $13.00 $10.00 $47.00 $19.00 $44.50 $2.00 How much does Robert spend on lunch in a week, in a year? If Robert continues to buy his lunch every weekday, he will be spending /week. S weeks in a year = $ spent during the year.​

Answers

The answer is 12 you welcome ma brotha

The distance between Kathmandu to Hetauda is 86 km. convert the distance from km into meter (m).​

Answers

1km is equivalent to 1000m,Accordingly,86 km is equivalent to 86000m

Answer:

86000 meters

remeber:   1km = 1000m

so.....

86 x 1000 = 86000 right?? ;-;

The number of fish in a lake decreased by 15% between last year and this year. This year, there were 51 fish in the lake. What was the population last year? Consider creating a tape diagram, to help you make sense of the situation.​

Answers

Answer:

234

Step-by-step explanation:

the d of c e rt rt egr yr oigj rethoy ejtheruot  utheoig  eoigh eoijg oeijrg ioetjg eroitj e eiotj  ertioj wet df fv 1q3r  2396 e059i58 the end oej etejg rtyehr

The answer to your question is 7.65.

The question is in the photo. Answer part d

Answers

Answer

your equation in part c is wrong

Step-by-step explanation:

part c

y=mx+c

11=2m+c-----------(1)

15=3m+c----------(2)

(2)-(1)

15-11=(3m+c)-(2m+c)

4=3m-2m+c-c

m=4

substitute in (1)

2m+c=11

2*4+c=11

8+c=11

c=3

so equation should be y=4x+3

consider the following equation:

2x−6y=9
Determine if the given ordered pair, (2,1/2), satisfies the given equation
yes or no

Answers

Answer:

The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all equations in the system.  The solution is the ordered pair(s) common to all lines in the system when the lines are graphed.

Lines that cross at a point (or points) are defined as a consistent system of equations. The place(s) where they cross are the solution(s) to the system.

Parallel lines do not cross. They have the same slope and different y-intercepts. They are an example of an inconsistent system of equations. An inconsistent system of equations has no solution.

Two equations that actually are the same line have an infinite number of solutions. This is an example of a dependent system of equations.

Step-by-step explanation:

Solve the system of equations graphically.

3x + 2y = 4

−x + 3y = −5

Solution

Graph each line and determine where they cross.

The lines intersect once at (2, −1).

A graphic solution to a system of equations is only as accurate as the scale of the paper or precision of the lines. At times the point of intersection will need to be estimated on the graph. When an exact solution is necessary, the system should be solved algebraically, either by substitution or by elimination.

Substitution Method

To solve a system of equations by substitution, solve one of the equations for a variable, for example x. Then replace that variable in the other equation with the terms you deemed equal and solve for the other variable, y. The solution to the system of equations is always an ordered pair.

Example

Solve the following system of equations by substitution.

x + 3y = 18

2x + y = 11

Solution

Solve for a variable in either equation. (If possible, choose a variable that does not have a coefficient to avoid working with fractions.)

In this case, it's easiest to rewrite the first equation by solving for x.

x + 3y = 18

x = −3y + 18

Next, substitute (−3y + 18) in for x into the other equation. Solve for y.

2(  3y + 12x + y = 11

2(−3y + 18) + y = 11-------Substitute -3y + 18 in for

   −6y + 36 + y = 11-------Distribute.

2(3y −5y + 36 = 11-------Combine like terms.

2(3y +  18−5y = −25-----Subtract 36 from both sides

2(3y + 18) +  y = 5----   -Divide both sides by -5.

Then, substitute y = 5 into your rewritten equation to find x.

x = −3y + 18

x = −3(5) + 18

x = −15 + 18

x = 3

Identify the solution.   A check using x = 3 and y = 5 in both equations will show that the solution is the ordered pair (3, 5).

Elimination Method

Another way to solve a system of equations is by using the elimination method.  The aim of using the elimination method is to have one variable cancel out. The resulting sum will contain a single variable that can then be identified. Once one variable is found, it can be substituted into either of the original equations to find the other variable.

Example

Find the solution to the system of equations by using the elimination method.

x − 2y = 9

3x + 2y = 11

Solution

Add the equations.

 x −  2y = 9

3x +  2y = 11

4x +  2y = 20

Isolate the variable in the new equation

4x = 20

 x = 5

Substitute x = 5 into either of the original equations to find y.

 x − 2y = 9

(5) − 2y = 9

     −2y = 4

        y = −2

Identify the ordered pair that is the solution.   A check in both equations will show that (5, −2) is a solution.

It may be necessary to multiply one or both of the equations in the system by a constant in order to obtain a variable that can be eliminated by addition. For example, consider the system of equations below:

3x + 2y = 6

 x − 5y = 8

Both sides of the second equation above could be multiplied by −3. Multiplying the equation by the same number on both sides does not change the value of the equation. It will result in an equation whereby the x values can be eliminated through addition.

Special Cases

In some circumstances, both variables will drop out when adding the equations. If the resulting expression is not true, then the system is inconsistent and has no solution.

4x + 6y = 13

6x + 9y = 17

3(4x + 6y = 13)

2(6x + 9y = 17)

12x + 18y = 39

12x + 18y = 34

             0 = 5

The equation is false.  The system has no solution.

If both variables drop out and the resulting expression is true, then the system is dependent and has infinite solutions.

6x + 15y = 24

4x + 10y = 16

2(6x + 15y = 24)

3(4x + 10y = 16)

12x + 30y = 48

12x + 30y = 48

             0 = 0

The equation is true.  The system has an infinite number of solutions.  (Notice that both of the original equations reduce to 2x + 5y = 8.  All solutions to the system lie on this line.)

1. “Zoe and Toria are going into business. They need 80,000 to start the business. Their investment is 3:5, respectively.

a. What's Zoe & Ares individual investment amounts?

b. What percent did each person invest?

Answers

9514 1404 393

Answer:

  a. Z: 30,000; T: 50,000

  b. Z: 37.5%; T: 62.5%

Step-by-step explanation:

a. The "ratio units" add up to 3+5 = 8, so we can find the investment amounts by multiplying the ratio by 10,000

  Z : T = 3 : 5 = 30,000 : 50,000

Zoe invested 30,000Toria invested 50,000

__

b. Zoe's investment amount is 3/8 of the total, or ...

  3/8 × 100% = 37.5%

Toria's percentage is the rest of it:

  100% -37.5% = 62.5%

  Zoe invested 37.5% of the total; Toria invested 62.5% of the total.

A world-famous prix fixe menu includes the following choices.

Beverage (choose one): wine, soft drink, coffee, tea, milk, juice, or cappuccino

First course (no choice): baguette, bruschetta, whole roasted garlic, and butter

Second course (choose one): quesadilla, onion soup, salad, Caesar salad, lettuce wedge, spinach salad, or romaine salad

Third course (choose one): rib eye steak, swordfish, rack of lamb, whitefish, grilled chicken, southern fried chicken, lobster, or vegetarian plate
if you choose steak, then choose one of the following: fries, mashed potatoes, creamed corn, spinach, broccoli, or grilled onions

Fourth course (choose one): chocolate cake, cinnamon tart, apple tart, pecan tart, creme brulee, mango sorbet, or chocolate tart

How many different choices are possible?

Answers

Using the fundamental counting theorem, it is found that 107,016 different choices are possible.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the beverage, there are 7 options, hence [tex]n_1 = 7[/tex]For the first course, there are no choice, hence an arrangement of 4 options, that is, [tex]n_2 = 4! = 24[/tex]For the second course, there are 7 options, hence [tex]n_3 = 7[/tex]For the third course, there are 7 non-steak options, plus 6 steak options, hence [tex]n_4 = 13[/tex]For the fourth course, there are 7 choices, hence [tex]n_4 = 7[/tex]

Then, applying the theorem:

[tex]N = 7(24)(7)(13)(7) = 107016 [/tex]

107,016 different choices are possible.

A similar problem is given at https://brainly.com/question/19022577

helpppp please!!!!!!!

Answers

Answer:

a

Step-by-step explanation:

a

Pregnant women have the option of being scanned for Cystic Fibrosis risks in their unborn babies. If a mother or a father have a certain recessive gene, the baby is at risk for Cystic Fibrosis. Given the three events, which of the following statements is true? Select all that apply.
Event A: The mother or father carries the recessive gene.
Event B: The father carries the recessive gene.
Event C: The baby is at risk for Cystic Fibrosis.

Answers

Answer:

Pregnant women have the option of being scanned for Cystic Fibrosis risks in their unborn babies. If a mother or a father have a certain recessive gene, the baby is at risk for Cystic Fibrosis.

Given the three events, which of the following statements is true?  

Select all that apply.

Event A: The mother or father carries the recessive gene.

Event B: The father carries the recessive gene.

Event C: The baby is at risk for Cystic Fibrosis.

Select all that apply:

Event A and Event B are mutually exclusive.

Event B and Event C are mutually exclusive.

Event A and Event C are not mutually exclusive.

Event A and Event C are mutually exclusive.

Event A and Event C are not mutually exclusive.

Remember that in general, A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B)=0.

In this question, note that if the mother or father carries the recessive gene for cystic fibrosis, the baby is at risk. So here, A and C are not mutually exclusive, and B and C are not mutually exclusive.

A and B are not mutually exclusive because they share an outcome: the father carrying the recessive gene.

Step-by-step explanation:

In physics, the equation PV = nRT is called the ideal gas law. It is used to approximate the behavior of many gases under different conditions.

P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas. Which equation is solved for T?

A: PV/R = nT

B: PV/nR = T

C: T= PV - nR

D: PVnR = T​

Answers

Answer:

Option B

Step-by-step explanation:

[tex]PV = nRT\\\rule{150}{0.5}\\\rightarrow \frac{PV = nRT}{nR}\\\\\rightarrow \boxed{\frac{PV}{nR} = T}[/tex]

Hope this helps.

The equation for T will be;

⇒ T = PV/nR

Where, P, V, and T represent pressure, volume, and temperature, n represents the number of moles of gas, and R is a constant for the ideal gas.

Option B is true.

What is Linear equation?

When in an equation the highest power of variable is one then its called Linear equation.

Given that;

The equation for the ideal gas law is,

PV = nRT

Where, P, V, and T represent pressure, volume, and temperature,

n represents the number of moles of gas, and R is a constant for the ideal gas.

Now,

Solve the equation for T as;

PV = nRT

Divide both side by 'nR' we fet;

PV/nR = nRT/nR

PV/nR = T

T = PV/nR

Thus, The equation for T will be;

⇒ T = PV/nR

Learn more about the linear equation visit:

https://brainly.com/question/85774

#SPJ5

Evaluate - 2c + d for c = -9 and d = 4.

Please help.​

Answers

Answer:

-14

Step-by-step explanation:

2c + d

We are given the values of c and d:

c = -9

d = 4

We substitute in these values

2(-9) + 4 = ?

2 times -9 is -18

-18 + 4 = -14

2c + d = -14

A waiter carried 6 baskets with 5 dinner rolls in each
basket. How many dinner rolls did he carry? Show
your work.


Answers

Answer:

30 dinner rolls

Step-by-step explanation:

There are 5 dinner rolls per basket and there are 6 baskets

So there are 6 groups of 5:

5 + 5 + 5 + 5 + 5 + 5

In other words, multiply 5 and 6

5 dinner rolls x 6 = 30 dinner rolls

5x6=30

Each basket has five rolls so you have to do 5+5+5+5+5+5 which equals 30

Find the distance between two points in the simplest radical form

Answers

The 2 points marked on the graph are :-

(2, 3) & (-7, -4)

Here,

=》x₁ = 2

=》y₁ = 3

=》x₂ = -7

=》y₂ = -4

Using distance formula....

√(x₂ - x₁)² + (y₂ - y₁)²

= √(-7 - 2)² + (-4 - 3)²

= √(-9)² + (-7)²

= √81 + 49

= √130 (in radical form)

= 11.4 (approx......in standard form)

♧ The distance between the 2 points is √130 units.

______

Hope it helps ⚜

Multiplying polynomials

Answers

Steps are in the attachment.

________

Hope it helps :)) ⚜

How do you apply the distrubtive property to simplify the expression. -3(6+2

Answers

Answer:

-24

Step-by-step explanation:

multiply the 6 by the -3 and the 2 by -3

you get -18+-6

if you add them together u get -24

Hey there!

-3(6 + 2)

= -3(8)

= -24

Therefore, your answer is: -24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

2^x+2=4081
Solve the following exponential equation

Answers

x=11.99399979
easy peasy

SIMPLIFIED POLYNOMIALS. Combine all the similar terms of each polynomial
1. 4x + 2x - 3x
2. 10xy + 4y - 8xy + 9y
3. 6x2 + y - 8x2 + 2 + 3y
4. 14a3 - a2 + 3a2 - 16a3 + a2
5. -5pq2 + 3pq2 - p2q + pq2 - 7p2q

Answers

Answer:

1. 3x

2. 2xy+13y

3. -2x^2+4y+2

4. -2a^3+3a^2

5. -2pq^2-7p^2q

A. 48 inches
B. 4 feet

Explain why length A is equivalent to length B. Use your knowledge of converting inches to feet in your answer.

Answers

Answer:

As 1 feet = 12 inches

Therefore, 4 feet = 48/12

= 4

Answer = 4 feet

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Which expression is equivalent to this polynomial expression?
(5ry2 + 3x2 – 7) + (3.272 – 142 + 3y2 + 4)

Answers

Answer:

Step-by-step explanation:

the answer  is . (5xy² + 3x² - 7) + (3x²y² - xy² + 3y² + 4). hope this helps

What is 919,827 rounded to the nearest hundred

Answers

Answer:

919,800

Step-by-step explanation:

To round up, the tens place would have to be either 5 or higher. Since the number in the tens place is 2, which is under 5, it will stay the same.

x^2+12x-20/3x-5 = x^2+8x+12/2x+3
[tex] \frac{ {x}^{2} + 12x - 20}{3x - 5} = \frac{ {x}^{2} + 8x + 12}{2x + 3} [/tex]
Solution give;;;​

Answers

Answer:

In attachment I have answered this problem.

Whats (c) ????????????? ????

Answers

Answer:

11

Step-by-step explanation:

yeah-ya............ right?

Check the picture below.

Simplify the linear expression.

−23a+18−16a−34

Answers

Answer:

-39a - 16 is not the answer, it's -5/6a - 5/8

Step-by-step explanation:

Took the test and got it incorrect.

Answer:

-5/6a - 5/8

Step-by-step explanation:

There is a massive difference between -2/3a & -23a.

Same goes for 1/8 & 18, -1/6a & -16a, and -3/4 & -34.

My earlier answer, -39a - 16, IS correct for the question you wrote. What was incorrect was the question.

It is important to write the question properly because

−23a+18−16a−34

and

−2/3a+1/8−1/6a−3/4

will have very different answers.

In conclusion, make sure you write your question correctly. It's unfair to others genuinely trying to help who then are blamed for supplying the "wrong answer" by others who also copied and pasted from their school work.

If you had written, −2/3a+1/8−1/6a−3/4, then the answer would be -5/6a - 5/8.

PLZ HURRY IT'S URGENT!!!!
Find the area of the circle to the nearest hundredth. (Use 3.14 for π)



options:

452.16 cm2


37.68 cm2


113.04 cm2


18.84 cm2

Answers

Answer:

113.04 cm^2

Step-by-step explanation:

To find the area, you do radius squared, multiplied by [tex]\pi[/tex]

Radius is half of the diameter. 12/2 is 6

6^2×3.14=113.1

Solve the system, or show that it has no solution.
10x + 4y = 14
15x + 6y = 21

Answers

Answer:

Step-by-step explanation:

(6)10x + 4y = 14(6)

4(15x + 6y) = 21(4)

60x + 24y = 84

60x + 24y = 84

It has infinite, as if this were to be graphed the lines would overlap.

Mary is doing research on bird migration. Last week she counted 12 migration birds in her yard. This week she counted 10. What was the percent decrease in birds this week?​

Answers

16.67% decrease in birds per weeks

Find x intercept
(0, 24) (4,0)

Answers

Answer:

bt.ly/d97sjdu8 there is your answer!

Step-by-step explanation:

Answer:

x-intercept is 0

Step-by-step explanation:

(0, 24) (4,0)

(x, y)

0/4=0

A line has a slope of –8 and includes the points (5,–3) and (4,z). What is the value of z?

Answers

It’s or should be 6z

Jim swam 8 laps on Tuesday, 19 laps on Wednesday, 30 laps on Thursday, and 41 laps on Friday. What kind of sequence is this? both neither arithmetic geometric​

Answers

It may be the Harmonic Sequence but I am not sure.

can someone pls help me with dis ill give brainliest​

Answers

9514 1404 393

Answer:

  a) 9×10⁶ +1×10³ +1×10²

  b) 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰

Step-by-step explanation:

The place value of each digit is 10 to a power equal to the number of places the digit is to the left of the units (ones) place. That is, the exponent of 10 is the number of zeros in the multiplier for place value.

a)

9,001,100 = 9×1,000,000 +1×1,000 +1×100 = 9×10⁶ +1×10³ +1×10²

__

b)

87,096,142 = 80,000,000 +7,000,000 +90,000 +6,000 +100 +40 +2

  = 8×10⁷ +7×10⁶ +9×10⁴ +6×10³ +1×10² +4×10¹ +2×10⁰

_____

Additional comment

It is useful to learn to think of place value in this way, because it helps immensely when you convert numbers to or from scientific notation.

You may notice the powers of ten count up for places to the left of the decimal point. They count down for places to the right. That is, the tenths place has a place value that is the inverse of the tens place: 1/10 = 10⁻¹.

Other Questions
In the equation L = F + B, if F is equal to 6.50 and B is equal to -6.25, then L is equal to What were inventors in ancient china set out to create when they accidentally created gun powder? Which statement is true?A) There is one kind of fictional story.B) There are two kinds of fictional stories.C) Some fictional stories are completely true.D) Fictional stories always have real settings. Almost all living things depend on the process of ____________________ to supply them with the energy they need.A.photosynthesisB. heterotroph help me plz math is hard A crane is lifting a 500 lb car. If the power of the crane 1.82 hp, find the velocity of the car. I dont understand what to do and what the answer is 54. The National curriculum must..in all state schools Does anyone know who this man issss? find the volume,,..,,,,,,,,,.. PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS what is the difference between a specialist and a generalist altering the environment to minimize the stimuli for eating is called ce este munca in echipa HELP ME PLEASEEEEE Using the evidence below, which of the following instances of elaboration does the best job of explaining why the evidence supports that video games cause negative health impacts related to physical strain.Evidence: Dr. Matthew Edlund, director of the Center for Circadian Medicine and author of "The Power of Rest" says, "Teens need adequate deep sleep and REM sleep to rebuild long-term memory for learning, focus attention for driving and maintain health and fight obesity ... They're so connected to their machines that they're treating themselves as though they don't need any rest" (Ortiz Healy).Question 3 options:Because of this tendency for teens to forgo sleep in order to play video games, the physical strain placed on the body by the lack of sleep results in negative health impacts. Sleep is good, and teens need to be sure to get enough of it.Negative health impacts due to physical strain result when teens decide not to sleep in order to play video games.This proves that video games cause negative health impacts. What kind is a utility file that shrinks the size of a file Item 2Regional erosion occurs at a rate of 2 m per 1,000 years.How much regional erosion will occur over 100,000 years 250 word essay about your online learning experience nguyn t khi ca Al Question 11: The next SEA Games will be held _______ Viet Nam.A. in B. on C. at D. up