Question

Record your answers on a sheet of paper. Show your work.

Explain how you can determine whether two lines are parallel or perpendicular.

Short answer

It can be determined whether the two lines are parallel or perpendicular by calculating the slopes of the lines and if the slopes of the lines are equal then the lines are parallel and if the product of the slopes of the lines is$-1$ then the lines are perpendicular.

Step-by-step solution

Step 1. Determine the way by which it can be determined whether the two lines are parallel or not.

It can be determined whether the two lines are parallel or not by calculating the slopes of the lines and if the slopes of the lines are equal then the lines are parallel otherwise not parallel.

Step 2. Determine the way by which it can be determined whether the two lines are perpendicular or not.

It can be determined whether the two lines are perpendicular or not by calculating the slopes of the lines and if the product of the slopes of the lines is$-1$ then the lines are perpendicular otherwise not perpendicular.