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

Respuesta :

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]