Question

Helen borrowed money from her aunt to pay for college expenses. The graph below shows the amount left

on the loan as it is paid off over time. Write a linear equation that describes the amount, A, that Helen owes her
aunt to the number of months, n, since she borrowed the money. Show your work that supports your answer

Answer 1

`y = -100x + 13000`

Explanation:

See attachment for graph

First, we need to take any corresponding values of x and y

`(x_1,y_1) = (0,13000)`

`(x_2,y_2) = (130,0)`

Next, we calculate the slope (m)

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (0 - 13000)/(130 - 0)`

`m = (- 13000)/(130)`

`m = -100`

Next, we calculate the line equation using:

`y - y_1=m(x-x_1)`

`y - 13000 = -100(x - 0)`

`y - 13000 = -100x`

Make y the subject

`y = -100x + 13000`

Hence, the line equation is:

`y = -100x + 13000`