Answer:
y = [tex]\frac{4}{5}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{4}{5}[/tex] , thus
y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (- 5, - 2) into the partial equation
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = [tex]\frac{4}{5}[/tex] x + 2 ← equation of line in slope- intercept form
