Question

Line l passes through the points (−2,−1) and (2,−9), while line m passes through (0, 4) and (5,−6). Which statement best describes the relationship between lines l and m?

a. l and m are intersecting.
b. l and m are parallel.
c. l and m are collinear.
d. l and m are perpendicular.

Answer 1

b. l and m are parallel.

Explanation:

We need to figure out the equations of the two lines.

l passed through (-2, -1) and (2, -9)

y=-2x-5

m passed through (0, 4) and (5, -6)

y=-2x+4

The slope is the same, so the two lines are parallel.