Question

Line m passes through the points (4, 1) and (7,3) while line n passes through the points (-3, 5) and (-9, 1).Which statement accurately describes the relationship between the twolines?

Answer 1

Given:

Line m passes through the points (4, 1) and (7,3) while line n passes through the points (-3, 5) and (-9, 1).

Required:

Which statement accurately describes the relationship between the two

lines?

Explanation:

The slopes of parallel lines are equal.

We know slope between two points

$m=\frac{y_2-y_1}{x_2-x_1}$

For (4, 1) and (7, 3)

$\begin{gathered} m=\frac{3-1}{7-4} \\ =\frac{2}{3} \end{gathered}$

For (-3, 5) and (-9, 1)

$\begin{gathered} m=\frac{1-5}{-9+3} \\ =\frac{-4}{-6} \\ =\frac{2}{3} \end{gathered}$

Slopes of both lines m and n is equal.

Answer:

Option A is correct.