Question

Which statement explains how the lines x + y = 2 and y = x + 4 are related?

They are parallel.
They are perpendicular.
They are the same line.
They are not related.

Answer 1

Answer: They are perpendicular.

Explanation:

We will transform both of the equations into the same form. We will use slope-intercept form.

x + y = 2 ➜ y = -x + 2

y = x + 4

These two lines have opposite reciprocal slopes, meaning that they are perpendicular. I have attached a picture of these two lines graphed below.