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? A. Lines m and n have the same slope so they are parallel. B. Lines m and n have the same slope so they are perpendicular. C. Lines m and n have opposite reciprocal slopes so they are perpendicular. D. Lines m and n have opposite reciprocal slopes so they are parallel.

Answer 1

Hey there! I'm happy to help!

First, let's find the slope of the two lines. To find the slope, you divide the difference in the y-values by the difference in the x-values.

LINE M

7-12/3-6=-5/-3= 5/3

LINE N

1-6/-5+2=-5/-3=5/3

If lines have the same slopes, they are parallel because they are always moving at the same incline and therefore will never meet. This matches what answer A says.

Therefore, the correct answer is A) Lines m and n have the same slope so they are parallel.

I hope that this helps! Have a wonderful day!