Use the point–slope formula to write an equation of the line that passes through −4,15 and has a slope of m = − 4. Write the answer in slope–intercept form (if possible).
The equation of the line is_____

Use The Pointslope Formula To Write An Equation Of The Line That Passes Through 4,15 And Has A Slope

Answers

Answer 1

Let's split this problem into several steps:

Let's first put it into the point-slope form:

    ⇒ Point-slope form ⇒ [tex](y-y0)=m(x-x0)[/tex]

(x0,y0) --> any point on the linem --> slope

Consider the information given:

(x0,y0) --> (-4,15)m --> -4

Let's plug the numbers in:

  [tex]y - 15=-4(x+4)\\[/tex]

To put this format into slope-intercept form, we will solve for y:

 ⇒as in, move everything else to one side and y by itself on the other

    [tex]y - 15=-4(x+4)\\y-15=-4x-16\\y = -4x-16+15\\y=-4x-1[/tex]

Thus the equation of the line is --> [tex]y = -4x - 1[/tex]

Hope that helps!


Related Questions

Target 3: I can create or complete a table using equivalent ratios.
4. A wallpaper pattern has 6 stars for every 4 moons. How many stars would there be if there were 16
moons?
Stars
Moons

Answers

Answer:

24

Step-by-step explanation:

Remark

This can be done with a proportion which consists of 2 equal ratios. That's 4 parts total. If you know 3 of the parts, you can find the 4th.

Givens

Stars1  6

Moon1 4

Starts2 x

Moon2 16

Formula

stars1/moon1 = stars2/moon2

Solution

6/4 = x / 16         Multiply by 16

6 * 16/4 = x

Answer: 96/4 = 24

Origami paper is always in the shape of a square. If you take the top corner of either side of a 9 x 11-inch piece of paper and fold it to the lower opposite side and trim off the excess paper, this creates the square that we need. Then fold the top corner to the opposite corner to create a diagonal, which is a typical first step to most origami designs. What are the dimensions of your square? What is the length of the diagonal? Write your answer in exact and decimal form.

Answers

Answer:

Dimensions are nine by nine, the diagonal is the square root of 162.

Step-by-step explanation:

The resulting square will have the same width as before, with a height to match, (9,9) The diagonal can be found using the pathagyreon theorom.

9^2 + 9^2 = x^2.

The dimensions of the square would be nine by nine, the diagonal is the square root of 162.

The square will have the same width as before, with a height to match, (9,9)

The diagonal can be found using the Pythagorean theory.

9^2 + 9^2 = x^2.

What is the Pythagorean theorem?

This theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

What is the Pythagorean theorem and what is it used for?

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.

Learn more about Pythagorean Theorem here:https://brainly.com/question/231802

#SPJ2

How to calculate percentage profit?

Answers

Answer:

Profit/Cost Price*100

Step-by-step explanation

Calculated by working out the difference between the cost price and the selling price, which is then divided by the original price and multiplied by 100, giving you a percentage. Cost price is the original price for good which the retailer has bought for.

22. The population, P, of the city of Hazelton has grown according to the mathematical model
P = 65,000(1.075)', where t is the number of years since 2005.
a) At what percentage is the population growing? [1 mark]

Answers

Answer:

7.5%

Step-by-step explanation:

The exponent 't' is applied to 1.0751.075 is the rate at which it increasesDecimal → % = x 1001.075 × 100 = 107.5%107.5% - 100% = 7.5%

What’s the following sum?

Answers

[tex] \huge{ \orange{ \boxed{ \bold{6 \sqrt{5} }}}}[/tex]

EXPLAINATION :

By following the rule in finding the sum or difference of similar radicals

[tex] \green{a \sqrt{c} \: + \: b \sqrt{c} \: = (a + b) \sqrt{c} }[/tex]

Answer:

3.73

Step-by-step explanation:

What is the solution to 3x/4 =7/3

Answers

Answer:

[tex]x=\frac{28}{9}[/tex]

Step-by-step explanation:

[tex]\frac{3x}{4} =\frac{7}{4}[/tex]

[tex]\Longleftrightarrow \left( 3x\right) \times 3=7\times 4[/tex]

[tex]\Longleftrightarrow 9x=28[/tex]

[tex]\Longleftrightarrow x=\frac{28}{9}[/tex]

answer? i give vrainlist

Answers

Answer:

3 I think

Step-by-step explanation:

1/3 opposite is 3/1 or 3

Your food costs are $2,000.
Your total food sales are $8,500. What percent of your food sales do the food costs represent?

Answers

Answer:

23.53%

Step-by-step explanation:

Given :

food costs = $2,000total food sales = $8,500

Solving :

Food costs / Total Food Sales2000/85004/170.235323.53%

1. you make a deposits of a 467,00 into an ordinary annuity earning 5.75.7. compounded moyenthly, how many deposits must you make so that you will have atleast & 196.000?​

Answers

50000 would be yout answer for that

Which of the following statements is not true?

- the median is not affected by outliers as much as the mean.

- the mode is the most frequently occurring value(s) in a data set.

- the best measure of central tendency depends on the data set.

- the mean is the middle value of a data set.

Answers

Answer:

the mean is the middle value of the data set.

Step-by-step explanation:

the mean is the average of all the data, so i would say the last statement is incorrect.

Answer:

the mean is the middle value of a data set

3. If a = 2, b = -5 and c = 3, determine the value of b(a)+c​

Answers

-5(2) +3
-5*2=-10
-10+3=-7

The answer is -7

f(x) =2x^3 + 3x^2 - 7x + 2 g(x) = 2x-5 find (f+g)(x)

Answers

Answer:

Step-by-step explanation:

Remark

The way this is written, the notation is directing you to add the right hand sides of the two given polynomials.

Givens

f(x) = 2x^3 + 3x^2 + 7x + 2

g(x) =                        2x - 5                Add

Solution and Answer

Answer: (f + g)(x) = 2x^3 + 3x^2 + 9x -3

Be careful with that - 5. The result is -5 + 2 = - 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Answer: It's (f+g)(x)=2x^3+3x^2-5x+3

Step-by-step explanation: I just did it.

At a dance school, 18 students attend class on Tuesday. Six of those students are boys. What is the ratio of girls
to total students attending class on Tuesday?

Answers

Answer:

= 12 : 18

Step-by-step explanation:

• 18 - 6 = 12

• girls = 12

• total students = 18

• girls to total students

= 12 : 18

Answer:

12:18

Step-by-step explanation:

Write an equation to find the value of x and solve it. Round your answer to the nearest tenth if necessary.

x =

Write your equation and explain how you came up with your equation and how you solved it. What concepts apply to this problem? How do you know your answer is correct?

Answers

Answer:

x = 3

Step-by-step explanation:

If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion.

[tex](x + 9)(9) = (12 + 6)(6)[/tex]

[tex]9x + 81 = 108[/tex]

[tex]9x = 27[/tex]

[tex]x = 3[/tex]


One positive integer is 7 less than twice another. The sum of their squares is 433. Find the integers.

Answers

Answer:

This is the correct answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Where do 2x - y = 4 and 4x + y = 9 intersect?

Answers

Answer: They intersect at [tex](2\frac{1}{6}, \frac{1}{3} )[/tex]

Step-by-step explanation:

We can solve this system of equations through elimination

Add (4x+y=9) with (2x-y=4)

[tex]4x+y=9\\+2x-y=4\\=\\6x+0=13[/tex]

Now that y is canceled out we can solve for x

[tex]6x=13\\\frac{6x}{6}=\frac{13}{6} \\x=2\frac{1}{6}[/tex]

Now sub back x into one of the original equations to find the value of y

[tex]4(2\frac{1}{6} )+y=9\\8\frac{2}{3} +y=9\\8\frac{2}{3}-8\frac{2}{3}+y=9-8\frac{2}{3}\\y=\frac{1}{3}[/tex]

how is 0.136 written as a fraction in simpilist form. is my answer correct?

Answers

Answer:

Yes you are

Step-by-step explanation:

case as) the repeating decimal is 36

Multiply x by a power of  , one that keeps the decimal part of the number the same:

Subtract  from

The repeating decimals should cancel out

solve for x

Divide by  both sides

Simplify

Divide by  both numerator and denominator

therefore

the answer case a) is

The fraction in easyiest form is

case b) the repeating decimal is 136

Let

Multiply x by a power of, one that keeps the decimal part of the number the same:

Subtract  from

The repeating decimals should cancel out

solve for x

Divide by  both sides

-----> irreducible

therefore

the answer case b) is

The fraction in simplest form is

136/999

HELP QUICKLY PLEASE
31. Tony is borrowing $10 from his mom every week for buying more toy cars for his Hot Wheels collection. How much money does he owe at the end of 7 weeks?

33. Linda borrowed $7 a day until she had borrowed a total of $56. For how many days did she borrow money?

34. The temperature increased 2o per hour for six hours. How many degrees did the temperature raise after six hours?

35. Max lost 24 pounds in 8 weeks on his new weight-loss plan. What was his average change in weight per week?

Answers

Answer:

the answer to 33 is 8 7×8=56 or 56÷7

Help help ASAP math math

Answers

Answer:

-25

Step-by-step explanation:

f(-12) means x = -12

so you just plug it in the equation and solve for x

[tex]f(x) = 3(-12)+11\\f(x) = -36+11\\f(x) = -25[/tex]

Maya is building a model of her city's downtown area. She is constructing part of an office building, as shown below. Each cube has an edge length of 1/6 foot.

The volume of the model building is cubic foot?
A.2/3
B.1/36
C.1/4
D.1/9
E.1/2

Answers

Answer:

B I think my bad if its wrong

Answer: the answer is e

Step-by-step explanation: 1 over 6 multiplied by 9 cubes will give 1.5 which is 1 over 2 . 4 cubes are the length and 2 the width and 3 height s o equal 9 . 9 times 1 over 6 equals 1.5 which is the last one. hope it helps buddy .

Please please give brainliest !!! Thanks .

Which expression correctly shows the difference between the product of 8 and 5 and the sum of 8 and 7?
O 8 x (5-8) +7
O (8 x 5) + (8 + 7)
O 8x (5+8)+7
O (8 x 5) - (8 + 7)
feel
Wacom
aer

Answers

Answer:

D. (8 x 5) - (8 + 7)

Step-by-step explanation:

Evaluate the word problem.

The difference (we will be subtracting.) between the product of 8 and 5 (8 * 5) and the sum of 8 and 7 (8 + 7)?

So set it up.

(8 * 5) - (8 + 7)

This is the correct answer because we are taking the difference of the product of 8 and 5 and the sum of 8 and 7.

What is the equation to this graph using Y=MX+B. Show Work.

Answers

Answer:

y = 2x + 9

Step-by-step explanation:

Y = mx + b indicates slope-intercept equation.

"b" represents y -intercept/beginning.

"mx" represent slope/constant of variation/rate of change

x-intercept represents the end of the graph. (in stories using money its the ending amount).

The y-intercept is always when the x-value is 0. The point of the y-intercept is on the y-axis. The line on the graph starts at the point (0,9). It can be located on the point right above the number labeled under the 9 which is 8. Since the x-value is 0,

The y-intercept is 9.

To find the slope, we have to find two points on the graph to use.

Two points on the graph are:

(1.5, 13) , (2, 14)

Using the slope formula:

y2-y1/x2-x1

Plug in:

14-13/2-1.5

Complete:

1/0.5

divide:

The numbers in 1 divided by 1/2 are labeled below:

1 = whole number

1 = numerator

2 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

1 x 2/1  = 2/1

Thus, the answer to 1 divided by 1/2 in fraction form is:

2/1

To make the answer to 1 divided by 1/2 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

2 / 1 = 2

The answer is rounded to the nearest two decimal points if necessary.

2/1 is an improper fraction and should be written as 2.

So now that we have the y-intercept and slope:

Y-intercept: 9

Slope: 2

Equation: y = 2x + 9


Terms: Linear Equations 8th Grade

find the missing length of a rectangle with a width of 7b^3 and an area of 77a^8b^8​

Answers

Answer:

Step-by-step explanation:

What does 5 in = how many feet/foot?

Answers

Answer:

5/12

Step-by-step explanation:

Since 12 inches is one foot, the number has to be a fraction number. The answer is 5/12 feet.

1 ft = 12in
1in = 1/12
5 x 1/12
=5/12

(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.

A cube-shaped bin has an edge length of 12 yard.

What is the volume of the container?



Enter your answer, as a fraction in simplest form, in the box.

Answers

Answer:

[tex]\sf V=\dfrac18\: \sf yd^3[/tex]

Step-by-step explanation:

Volume of a cube formula

[tex]\sf V=s^3[/tex]

where:

V = volumes = edge length

Given:

s = 1/2 yard

[tex]\sf \implies V=\left(\dfrac12\right)^3[/tex]

Apply exponent rule [tex](\frac{a}{b})^c=\dfrac{a^c}{b^c}[/tex]

[tex]\sf \implies V=\dfrac{1^3}{2^3}[/tex]

[tex]\sf \implies V=\dfrac18\: \sf yd^3[/tex]

Side=1/2yd

Volume:-

side³(1/2)³1/2³1/8yd³

The data set below shows the weights of some puppies, in pounds, at a kennel:

10, 11, 12, 12, 13, 13, 14, 15, 15

Which histogram represents the data set?

Answers

Answer:

The second histogram. and this is because of the arrangement of data which is the puppies

Answer:

I think its A)

Step-by-step explanation:

What number can be divided into 2 equal groups whit out a reminder

Answers

all even numbers

hope it really helps...!!!

Answer:

all even numbers. because when divisible by two there is no reminder

The line plot shows the heights of the players on a basketball team, in inches.

Part B

he next year, a player who is
71
inches tall is replaced by a player who is
73
inches tall. Otherwise the team remains the same. Is
74
an outlier the next year? Explain.

Answers

A: based on the given dot plot are: statements B, D, and E.

B:  A. No. 74 is not an outlier because it is not different from the other heights in the dot plot.

What is a Dot Plot?

In a dot plot, frequencies of each data point is represented as dots.

Part A:

Thus, in the dot plot given:

Players of 70 1/2 in. tall and above are 7 in number. This is half of the number of the total players. (option B is true).

Players with height of 69 1/2 in. (3 players) are more than those that are 70 in. tall (1). (option A is not true).

One of the player is 68 1/2. (option C is not true).

Four of the players are 74 in. tall (option D is true).

The team has 6 different heights as shown in the dot plot given (option E is correct).

Therefore, the statements that are correct based on the given dot plot are: statements B, D, and E.

Part B:

If a player of 73 in. tall replaces a player of 71 in, tall, 73 is close to 74.

Therefore, we can conclude that: A. No. 74 is not an outlier because it is not different from the otehr heights in the dot plot.

Learn more about dot plots on:

https://brainly.com/question/25957672

Let's Apply Solve for the surface area of the following figures. ​

Answers

Answer:

1. 864in^2

2. 331.2581cm^2

3. 201.0619m^2

4. 516.548m^2

5. 2827.4334mm^2

Mike is working on solving the exponential equation 74^x = 37; however, he is not quite sure where to start. Using complete sentences, describe to Mike how to solve this equation.

Answers

Answer:

Method 1

[tex]74^x = 37[/tex]

Take natural logs of both sides:

[tex]\implies \ln74^x = \ln37[/tex]

Apply the log power rule: [tex]\ln(a)^b=b \ln (a)[/tex]

[tex]\implies x\ln74 = \ln37[/tex]

Divide both sides by ln 74:

[tex]\implies \dfrac{x\ln74}{\ln74} = \dfrac{\ln37}{\ln74}[/tex]

[tex]\implies x= \dfrac{\ln37}{\ln74}[/tex]

[tex]\implies x=0.8389552282...[/tex]

Method 1

[tex]74^x = 37[/tex]

Take logs of base 74 of both sides:

[tex]\implies \log_{74}74^x = \log_{74}37[/tex]

Apply the log power rule: [tex]\log_am^n=n\log_am[/tex]

[tex]\implies x\log_{74}74= \log_{74}37[/tex]

Apply log of the same number as base rule: [tex]\log_aa=1[/tex]

[tex]\implies x= \log_{74}37[/tex]

[tex]\implies x=0.8389552282...[/tex]

Answer:

[tex]x = \log_{74}(37) [/tex]

Step-by-step explanation:

we want to solve the following exponential equation:

[tex] \iff {74}^{x} = 37[/tex]

Taking common logarithm of both sides yields:

[tex]\iff \log{74}^{x} = \log37[/tex]

recall that,

[tex] log( {a}^{x} ) = x log(a) [/tex]

utilizing it yields:

[tex] \iff x \cdot\log{74} = \log37[/tex]

divide both sides by log74:

[tex]\iff \dfrac{ x \cdot\log{74}}{ \log(74)} = \dfrac{ \log37}{ \log(74) }[/tex]

remember that,

[tex] log_b( {a} ) = \frac{log(a)}{log(b)} [/tex]

hence,

[tex]x = \boxed{ \log_{74}(37)} [/tex]

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