Question

points L and M are added to the coordinate plane. The slope of JK is equal to the slope LM. Describe two ways the lines could be related.

Answer 1

We are given that L and M are added in coordinate plane.

And Slope of JK is equal to the slope of LM.

There could two two cases when slope of two lines are same on a coordinate plane.

Case 1:

Either lines would be inconsistent when lines would be parallel.

The lines would not cut each other at any point.

Case 2:

Or the lines would be consistent or dependent.

Slopes of both lines would be same and all the points, J, K , L and M would be on a same line.