Question

Write the equation of the line that passes through the points (-8,-1) and (5,-7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answer 1

The answer to the question provided is:

`y + 1 = - (6)/(13) (x + 8)`

Explanation:

❃Incase you forgot what the point-slope formula is ☟

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

❃Incase you also forgot, what the slope formula is ☟

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

➊ First: We are going to be solving for the slope.

`m =  ( - 7 - ( - 1))/(5 - ( - 8))  =  ( - 6)/( \:  13)  =  - (6)/(13)`

➋Second: Plug in.

`y + 1 = - (6)/(13) (x + 8)`