What is the y-intercept

Question

What is the y-intercept of the line that passes through the points (3,7) and (-2,-3)?

Answer 1

Compute equation of line passing through those points, y = mx+b, where m is slope and b is y intercept.

First compute slope: (-3 - 7)/(-2-3) = -10/-5 = 2

so y = 2x + b.

Plug one of the two points (3,7), x=3 and y = 7 into equation and solve for b.

7 = 2(3) + b

7 = 6 + b

1 = b

so y intercept is 1: point is (0,1).