Write the equation of the line in fully simplified slope-intercept form.

Write The Equation Of The Line In Fully Simplified Slope-intercept Form.

Answers

Answer 1

[tex]y = -\frac{1}{2}x - 1[/tex]

Step-by-step explanation:

Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:

[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]

With this value of the slope, we can write the general slope-intercept form of the equation as

[tex]y = -\frac{1}{2}x + b[/tex]

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]

Therefore, the slope-intercept form of the equation is

[tex]y = -\frac{1}{2}x - 1[/tex]


Related Questions

Here is another one if anyone can help me out

Answers

Answer:

1. 3 × Equation [A2] --> Equation [B2]

2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]

Step-by-step explanation:

1. 3 × Equation [A2] --> Equation [B2]

Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol

Instead, this works:

4x × 3 = 12x

-7y × 3 = -21y

8 × 3 = 24

2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]

(-3x × 4) + 12x = -12x + 12x = 0x

(2y × 4) + -21y = 8y - 21y = -13y

(7 × 4) + 28 = 28 + 24 = 52

=========================

I'll try to explain my process a little this time.

From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.

Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.

The step club made friendship bracelet as a fundraiser and sold them for $1.75 each. The club made a profit of $182. How many bracelets did the step club make?

Answers

Answer:

104 bracelets

Step-by-step explanation:

182 ÷ 1.75 = 104

please help me with this

Answers

Answer:

∠5  is supplementary.

It forms a straight angle with ∠1.

The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?

Answers

The percentage change in the number of burglaries over the two-year period is 35% .

The change in burglaries over the two-year period to have  a 40% increase is 6.7%.

Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.

The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350

The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%

In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used

(x - 1000) / 1000 = 0.40

x - 1000 = 400

x = 1400

The change in burglaries over the two-year period to have  a 40% increase = (1400 / 1500) - 1 = 6.7%

To learn more, please check: https://brainly.com/question/9350849

What is the answer to this question: 8V+3=105
Note: this is Vertical/Adjacent/Complementary Angles (Algebraic)

Answers

8V+3=105

clt

8v=105-3

=102

divide both sides by 8v

8v=102/8v

V=12.75

Hi , do you love math ?

Answers

It’s not my favorite subject. Sometimes it could be easy but other times it could be really difficult for me.

Answer: yes math is so good

Step-by-step explanation:

There are 10 girls in the class. This is three less thank half the number of boys . How many boys are in the class?

Answers

Answer:

there are 6 boys

Step-by-step explanation:

If 10 is 3 less, then adding 3 to 10 is 13 and if 13 is half the number of boys then 13 + 13 is 26. I’m not too sure but I think the answer is 26 boys

Round 909.09 to the nearest hundredth

Answers

Answer:

909.1

The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1

geometry homework help

Answers

Answer:

To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128

m<1= 128

For the first one (i think)

Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.

66+84+x=180

You’d get x=30

Now we have 30 as angle 1.

angle 3 and 84 degrees are supplementary so we can just do

84+y=180 which in this case is 96 so angle 3 is 96

Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing

96+43+n=180

in this case n is angle 2 and the measure of angle 2 is 41 degrees.

Final answers:

m<1=30

m<2= 41

m<3= 96

Answer:

Step-by-step explanation:

Question 2

1 = 76+52=128

=180-128

=5266+84 = 150     180-150

     =30

    2.    96+43=139    180-139=

    =41

     3.180-84

    =96

no link or bot q bpe

Answers

Answer:

(3,7)

Step-by-step explanation:

n will be located in x positive , y positive

Find the exact value of the expression below
Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees ​

Answers

Answer:

0

Step-by-step explanation:

1×2÷√(3)×√(3)÷2 - √(3)×1÷√(3)

1-1

0

for more refer to the image

I=PRT used to calculate interest earned. How do I solve for T?

Answers

9514 1404 393

Answer:

  T = I/(PR)

Step-by-step explanation:

Solve for T the same way you solve for the variable in any proportion: divide both sides of the equation by its coefficient.

  I = PRT

  I/(PR) = PRT/(PR)

  I/(PR) = T

_____

Additional comment

Please note that parentheses are required around the factors of the denominator when you write this in plain text.

  I/PR ≠ I/(PR)

  I/PR = (I/P)R . . . . . the order of operations requires the division occur before the multiplication

If you write this by hand, or in typeset form, the horizontal fraction bar serves to group the factors of the denominator:

  [tex]T=\dfrac{I}{PR}[/tex]

Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.

Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.

A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)

Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
PLEASE SHOW ME A PICTURE OF THE GRAPHED ANSWERS.

Answers

[tex]\\ \sf\longmapsto 3x-9y> 27[/tex]

[tex]\\ \sf\longmapsto x-3y>9---(1)[/tex]

And

[tex]\\ \sf\longmapsto y-3\leqslant -4/3(x+7)[/tex]

[tex]\\ \sf\longmapsto 3y-9\leqslant -4x+28[/tex]

[tex]\\ \sf\longmapsto 3y+4x\leqslant 37--(2)[/tex]

Graph attached

There are 150 buttons in a box.
24 children take 3 buttons each.
How many buttons are left in the box?
Show your method.

Answers

24 times 3 is 72 then subtract 72 from 150 which is 78

The answer is 78 :)

Answer:

78 buttons left

Step-by-step explanation:

I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.

Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)

helppppp meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

D 104

Step-by-step explanation:

A and b are too small to have $71 left. C is also not enough if he had $71 left.

The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.




State of Water Temperature (°F)

Freezing Point 32

Boiling Point 212



Find the freezing point and boiling point of water in degrees Celsius.




a. freezing point:

°C




b. boiling point:

°C

Answers

The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.

Answer:

Both of the freezing points would be °C

It is 30 miles into the town. Use the formula to work out how many km this is

Answers

Answer:

30*1.609=48.27

Hope This Helps!!!

Solve for x and thank you

Answers

9514 404 393

Answer:

  x = 57.6

Step-by-step explanation:

The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.

  x = 1.2 × 48 = 57.6

_____

Additional comment

Parallel lines cut transversals proportionally. That is why 30/25 = x/48.

Please answer the question in the image

Answers

Answer:

I don't know i just need the points

What is the midpoint of the segment shown below?
A.(5,7/2)
B.(5,7)
C.(5/2,7)
D.(5/2,7/2)

Answers

Answer:

D

Step-by-step explanation:

[tex](x_{1},y_{1}) = (2 , 2)\\\\ (x_{2},y_{2}) = (3 , 5)\\\\\\Midpoint=\left(\dfrac{x_{1}+y_{1}}{2},\dfrac{x_{2}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{3+2}{2},\dfrac{5+2}{2} \right)\\\\\\= \left(\dfrac{5}{2},\dfrac{7}{2} \right)[/tex]

Please answer. Geometry problem. Unit: Degrees

Answers

Answer:

17

Step-by-step explanation:

∠C is common in both triangles

equate them

∠C = 180- (x + 100) = 180 - ( 4x + 49)

x + 100 = 4x + 49

100 - 49 = 3x

51 = 3x

x = 51/3 = 17

which ones would be correct?

Answers

[tex] \: \: \: \: \: [/tex]

parallelogram

A parallelogram has two pairs of congruent sides. For two line segments to be congruent, they must have equal length.

hope it helps

[tex] \: \: \: \: \: [/tex]

A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:

Answers

Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this

1. Baking Blueberry Pies
Mrs. Berry is famous for her pies. She has been making pies in her bakery for many
years. She knows that it takes 1 2/3 cups of flour to make her special pie crust. She
buys flour in 25 pound bags and knows that each pound contains about 3 cups of flour.
How many pies can she expect to make from a 25 pound bag of flour?

Answers

Answer:

45 pies

Step-by-step explanation:

25 pound bag contains:

25*3 = 75 cups of flour

Number of pies:

75 : 1 2/3 = 75 : 5/3 = 75 * 3/5 =45 pies

2.
Fit a quadratic function to these three points:

(−2, 8), (0, −4), and (4, 68)

A. y = −2x2 − 2x − 4

B. y = 4x2 + 2x − 4

C. y = −4x2 − 2x − 4

D. y = −2x2 + 2x − 4

Answers

Answer:

It's C.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just put the x and y values into the equations and see which equation stays true.

for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).

so, when using this point in B :

68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68

correct.

and it is correct also for the other points.

so, B is the right answer.

2 (3) to the power of 3 + 5

Answers

Answer:

13122

Step-by-step explanation:

Our equation is 2(3)⁸

once its solve we get 13122 as our answer

A tank has a capacity of 10 gallons. When it’s full it contains 12% alcohol. How many gallons must be replaced by a 36% alcohol solution to give 10 gallons of 15% alcohol solution?

Answers

Answer:

Ie e did I

Step-by-step explanation:

djdusudusis

Write an equation of the line that passes through the given points (1, -6) and (1, 2).

Answers

Answer:

Step-by-step explanation:

NO LINKS!!!!!

identify a possible pair of values for a and c so that ax^2 + 10x = c has one real solution. Then write the equation.

The solution is a = 5 and c = - 5

What is the equation?



Answers

9514 1404 393

Answer:

  5x^2 +10x = -5

Step-by-step explanation:

The equation will have one solution when the discriminant is zero.

In standard form, the equation is ...

  ax^2 +10x -c = 0

The discriminant of the equation ax^2+bx+c=0 is  ...

  b^2 -4ac

so the discriminant of your equation is ...

  10^2 -4a(-c) = 100 +4ac

We want that to be zero, so we require ...

  100 +4ac = 0

  25 +ac = 0

  ac = -25

Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...

  5x^2 +10x = -5 . . . . . the equation with a=5, c=-5

_____

Additional comment

Your problem statement does not require that 'a' be non-zero. If a=0, then the equation will have one real solution for any value of c.

If you restrict the solutions to integers, then possibilities include ...

  (a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)

Answer:

The equation is 5x+10x=-5

Step-by-step explanation:

guys help
Evaluate the numerical expression.

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =

Answers

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]

= (25)2 × 100 ÷ 23 + [24 ÷ 8]

= 25 × 2 × 100/23 + 3

= 5000/23 + 3

= 5000+69/23

= 5069/23

= 220 9/23

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