A line passes through the points (–3, –4) and (6, 2). What is the x-intercept of this line?

Answer 1

Find the slope:

m = (-4 - 2) / (-3 - 6) = 2/3

Point slope form of equation:

y - 2 = (2/3)(x - 6)

Set y=0 and solve for x.

-2 = (2/3)(x - 6)

-3 = x - 6

x = 3

The x-intercept is (3,0)