Answer:
The answer to your question is -3
Explanation:
Data
A (-8, -35)
B (6, 21)
Process
1.- Calculate the slope
slope = m = (y2 - y1) / (x2 - x1)
x1 = -8 y1 = -35 x2 = 6 y2 = 21
-Substitution
m = (21 + 35) / (6 + 8)
-Simplification
m = 56 / 14
-Result
m = 4
2.- Calculate the equation of the line
y - y1 = m(x - x1)
-Substitution
y + 35 = 4(x + 8)
-Simplification
y + 35 = 4x + 32
y = 4x + 32 - 35
-Result
y = 4x - 3
3.- Find the y-intercept
The y-intercept is the number after the x, for this equation is -3.