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
