Answer:
The answer to the question provided is:
[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]
Step-by-step explanation:
❃Incase you forgot what the point-slope formula is ☟
[tex]y - y_1 = m(x - x_1)[/tex]
❃Incase you also forgot, what the slope formula is ☟
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 7 - ( - 1)}{5 - ( - 8)} = \frac{ - 6}{ \: 13} = - \frac{6}{13} [/tex]
➋Second: Plug in.
[tex]y + 1 = - \frac{6}{13} (x + 8)[/tex]