Question

If line M includes the points (-1, 4) and (7, 9) and line N includes the points (5, 2) and (-3, -3), which of the following describes the relationship between M and N?

Answer 1

As a result, the line M and line N are parallel.

Explanation:

Because line M includes the points (-1, 4) and (7, 9),

let yM=mx+n

4=-m+n

9=7m+n

so yM=5/8x+37/8

Because line N includes the points (5, 2) and (-3, -3),

let yN=mx+n

2=5m+n

-3=-3m+n

so yN=5/8x-9/8

As a result, the line M and line N are parallel.