Using Slopes to Prove Lines Are Parallel or Perpendicular


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1. Which of the following is the formula for the slope of a line through the points (x 1, y 1) and (x 2, y 2)?

2. If a line has slope 7/9, what is the slope of a line that is perpendicular to that line?

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About This Quiz & Worksheet

In this quiz and worksheet combo, you will be able to practice finding the slopes for lines that are parallel and perpendicular to each other. You can do this with given points, as well as given slopes.

Quiz & Worksheet Goals

Expect to see the following in your questions on this quiz and worksheet:

  • Characteristics of slopes
  • Perpendicular of a given slope
  • Parallel vs. perpendicular lines with given points

Skills Practiced

  • Problem solving - use given information to determine whether lines are parallel or perpendicular
  • Defining key concepts - ensure you understand how to describe parallel and perpendicular slopes
  • Knowledge application - apply your existing knowledge to give a formula for slopes

Additional Learning

To find out more, visit the lesson titled, Using Slopes to Prove Lines Are Parallel or Perpendicular. Inside, you can view the following topics:

  • Graphs of lines
  • Graph of a swimming pool
  • Negative reciprocals
  • Angles in intersecting lines