Answer:
y- intercept = 3
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}{3}[/tex] , then
y = - [tex]\frac{4}{3}[/tex] x + c
To find c substitute (- 3, 7 ) into the equation
7 = - [tex]\frac{4}{3}[/tex] (- 3) + c
7 = 4 + c ⇒ c = 7 - 4 = 3 ← y- intercept