Question

Line m passes through the points (3.7) and (6, 12) while line n passes

through the points (-5, 1) and (-2, 6).
Which statement accurately describes the relationship between the two
lines?

Answer 1

The line n is parallel to the line m.

Explanation:

Calculate slopes.

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

Line m:

(3, 7), (6, 12)

`m=(12-7)/(6-3)=(5)/(3)`

Line n:

(-5, 1), (-2, 6)

`m=(6-1)/(-2-(-5))=(5)/(3)`

The lines have the same slope. That is why they are parallel.