The y-intercept of the line which contains the following points (-8-35) and (6,21)

The answer to your question is -3

Step-by-step 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.