Answer :

Answer:

y = [tex]\frac{3}{4}[/tex] x + 10

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{3}{4}[/tex], thus

y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation

To find c substitute (- 8, 4) into the partial equation

4 = - 6 + c ⇒ c = 4 + 6 = 10

y = [tex]\frac{3}{4}[/tex] x + 10 ← equation of line