Question

A line passes through the points (-4,-1) and (4,3). A second line passes through the points (-2,-2) and (2,6). At what point do the two lines intersect

Answer 1

(-2/3 , 2/3)

Explanation:

Line 1: (-4,-1) (4,3)

m = (3 - -1) / (4 - -4) = 4/8 = 1/2

equation: (y-3)/(x-4) = 1/2 y-3 = 1/2 x - 2

y = 1/2 x + 1 ....(1)

Line 2: (-2,-2) (2,6)

m = (6 - -2) / (2 - -2) = 8/4 = 2

equation: (y-6)/(x-2) = 2 y-6 = 2x - 4

y = 2x + 2 ...(2)

(2)-(1): 0 = 3/2x + 1

3/2 x = -1 x = - 2/3

y = 1/2 * (-2/3) + 1 = 2/3