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.

Respuesta :

Answer:

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

and

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

Step-by-step explanation:

1. Find the slope using [tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex].

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

2. Plug the slope into the point-slope form, [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex].

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)