Answer:
The answer is
[tex]y = \frac{4}{3} x + \frac{2}{3} \\ [/tex]
Step-by-step explanation:
To find an equation of a line 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,-6) and the slope is 4/3
The equation of the line is
[tex]y + 6 = \frac{4}{3} (x + 5) \\ y + 6 = \frac{4}{3} x + \frac{20}{3} \\ y = \frac{4}{3} x + \frac{20}{3} - 6[/tex]
We have the final answer as
[tex]y = \frac{4}{3} x + \frac{2}{3} \\ [/tex]
Hope this helps you
