10
algebra

What is the relationship between y=xy = x and y=xy = -x?

A

Perpendicular

B

Parallel

C

Neither

D

Coincident

Correct Answer: A

Choice A is the correct answer. Check slopes.

  1. Slopes: m1=1m_1 = 1, m2=1m_2 = -1.
  2. Product: 1×(1)=11 \times (-1) = -1.
  3. Result: Perpendicular.

💡 Strategic Tip: These are the two main diagonals of the coordinate plane, crossing at 90 degrees.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.