write an equation in slope-intercept form for this line.

Answer:
y = [tex]\frac{3}{2}[/tex] x - 1
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] , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 4, - 7 ) into the partial equation
- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1
y = [tex]\frac{3}{2}[/tex] x - 1 ← equation of line