Question

Explain how to determine the x- and y- intercepts of a line from a given equation in y = mx + b form.

Answer 1

Explanation:

x-intercept: Set y = 0 and solve for x:

0 = mx + b, or mx = -b, or x = -b/m. x-intercept is then (-b/m, 0)

y-intercept: Set x = 0 and solve for y: y = m(0) + b, or y = b. y-intercept is then

(0, b).