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:
The line n is parallel to the line m.Step-by-step explanation:
Calculate slopes.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Line m:
(3, 7), (6, 12)
[tex]m=\dfrac{12-7}{6-3}=\dfrac{5}{3}[/tex]
Line n:
(-5, 1), (-2, 6)
[tex]m=\dfrac{6-1}{-2-(-5)}=\dfrac{5}{3}[/tex]
The lines have the same slope. That is why they are parallel.