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.

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!