What is the slope of a line that passes through the point (−1, 1) and is parallel to a line that passes through (3, 6) and (1, −2)?

1 Answer
Apr 30, 2018

Your slope is (-8)/-2 = 4.

Explanation:

Slopes of parallel lines are the same as they have the same rise and run on a graph. The slope can found using

"slope" = (y_2-y_1)/(x_2-x_1).

Therefore, if we put in the numbers of the line parallel to the original we get

"slope" = (-2 - 6)/(1-3)

This then simplifies to (-8)/(-2). Your rise or the amount it goes up by is -8 and your run or the amount it goes right by is -2.