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
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For (4, 1) and (7, 3)
[tex]\begin{gathered} m=\frac{3-1}{7-4} \\ =\frac{2}{3} \end{gathered}[/tex]
For (-3, 5) and (-9, 1)
[tex]\begin{gathered} m=\frac{1-5}{-9+3} \\ =\frac{-4}{-6} \\ =\frac{2}{3} \end{gathered}[/tex]
Slopes of both lines m and n is equal.
Answer:
Option A is correct.
