Question

Write the equation of the line that passes through the points (-7,8) and (-1,-5).

Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answer 1

y + 7 = -13/6(x-8)

and

y + 1 = -13/6(x+5)

Explanation:

1. Find the slope using
`m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)`.

-5-8/-1+7 = -13/6

2. Plug the slope into the point-slope form,
`y-y_(1)=m\left(x-x_(1)\right)`.

y - y1 = -13/6(x-x1)

3. Plug in one of the points to get the answer.

y + 7 = -13/6(x-8)

y + 1 = -13/6(x+5)