Answer:
The answer is
[tex]y = - \frac{2}{5} x \\ [/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 , - 2) and slope is - 2/5
The equation of the line is
[tex]y + 2 = - \frac{2}{5} (x - 5) \\ y + 2 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 2[/tex]
We have the final answer as
[tex]y = - \frac{2}{5} x \\ [/tex]
Hope this helps you
