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
