What is the x-intercept of the linear function that passes through the points (-6, -3) and (-2, 3)?

Answer 1

slope = "rise over run" (3--3)/(-2--6) = 6/4 = 3/2

y=(3/2)x + b, plug in either point to solve for b

3=(3/2((-2) + b

b = 3+3 = 6

y = (3/2)x + 6, set y= 0 to solve for the x intercept

0=(3/2)x + 6

-6= (3/2)x

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

or a simpler method is just

find the midpoint, average y and average x to et (-4,0) x intercept = -4