Respuesta :

Answer:

The answer is

[tex]y = - \frac{6}{5} x - 8 \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1) \\ [/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-5,-2) and the slope is - 6/5

The equation of the line is

[tex]y + 2 = - \frac{6}{5} (x + 5) \\ y + 2 = - \frac{6}{5} x - 6 \\ y = - \frac{6}{5} x - 6 - 2[/tex]

We have the final answer as

[tex]y = - \frac{6}{5} x - 8 \\ [/tex]

Hope this helps you