Line M passes through points (4,2) and (-7,1). What is the slope of a line N that is parallel to line M?

Answer 1

m = (y₂ - y₁)/(x₂- x₁)

m = (1-2)/(-7-4)

m = -1/-11 = 1/11

Parallel lines have equal slopes. So, the slope of line N is also 1/11.



Answer 2

Hello, thank you for taking the time to post your question!

The equation that you want to use to compute slope here is

m = (y2 – y1) / (x2 – x1) … for this set of values that becomes

m = (1 - 2) / (-7 - 4) = -1/ -11 = 1/11

then because parallel lines have parallel slopes it will also be 1/11 for the other line

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 3

The slope of Line M is given by (1 − 2) ÷ (-7 − 4) or -1/-11 or 1/11.

All lines parallel to line M will have this same slope of 1/11, so "Line N" is any line y = (1/11)x + b where b is the y-coordinate of the point where "Line N" crosses or intersects the y-axis.