Answer:
y = [tex]\frac{3}{2}[/tex] x + 4
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}{2}[/tex], thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 4, - 2) into the partial equation
- 2 = - 6 + c → c = - 2 + 6 = 4
y = [tex]\frac{3}{2}[/tex] x + 4 ← equation of line
