Question

A line has a slope of –3/2 and has a y-intercept of 3. What is the x-intercept of the line?

Answer 1

The x-intercept is (2, 0).

Explanation:

First write the equation of this line: y = (-3/2)x + 3.

At the x-intercept, y = 0. So, we set the above equation equal to 0 and solve for the x-intercept:

0 = (-3/2)x + 3, or

(3/2)x = 3, or x/2 = 1. Thus, x = 2.

The x-intercept is (2, 0).