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3 years ago

Quinn has a savings account with a balance of

1 answer:

7 0

Aaron wants to know how much he needs to save each month in his savings account to have a certain amount in the future. He should use the formula for present value of a periodic deposit investmen

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

Denise bought 5.2 pounds of rice for $5.29. Using the unit rate, how much would 2 pounds of rice cost? A $1.02 C $2.04 B $1.29 D

vagabundo [1.1K]

Answer:

it's A

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the sum of the given polynomials. ax + by + c, 2ax - 3by + c, and by - c

Sedbober [7]

The answer is 3ax -by + c hope this helps

4 0

4 years ago

The first term of a geometric sequence is −8100 . The common ratio of the sequence is −0.1 .

pychu [463]

Answer:

-8100 x (-0.1)5

Step-by-step explanation:

8 0

3 years ago

What are the dimensions of the rectangle shown on the coordinate pane?

Igoryamba

Answer:

The answer is C

Step-by-step explanation:

Count the height from bottom to up of the box, its 4 units so height is 4, then count from the side, its 10 boxes so its C, 10 and 4.

8 0

3 years ago