How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Perpendicular Line?

How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Perpendicular Line?

Note:

Want to find the slope-intercept form of a line when you're given a point on that line and another line perpendicular to that line? Remember, perpendicular lines have slopes that are opposite reciprocals of each other. In this tutorial, you'll see how to find the slope using the slope of the perpendicular line. Then, use this slope and the given point to write an equation for the line in slope-intercept form. Check it out!

Keywords:

  • problem
  • line
  • linear equation
  • point
  • perpendicular
  • find perpendicular line
  • given point
  • given line
  • find slope
  • slope-intercept form
  • standard form
  • find slope of line in standard form
  • intercept
  • slope
  • perpendicular slope

Background Tutorials

  • Dividing Fractions

      • What's a Reciprocal?What's a Reciprocal?

      What's a Reciprocal?

      Reciprocals are important when it comes to dividing fractions, finding perpendicular lines, dealing with inverse proportions, and so much more! In this tutorial you can review the basics about reciprocals.

  • X- and Y-Intercepts

      • What's the Y-Intercept?What's the Y-Intercept?

      What's the Y-Intercept?

      When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis. In this tutorial, learn about the y-intercept. Check it out!

  • Slope Defintions

      • What's the Formula for Slope?What's the Formula for Slope?

      What's the Formula for Slope?

      When you're dealing with linear equations, you may be asked to find the slope of a line. That's when knowing the slope formula really comes in handy! Learn the formula to find the slope of a line by watching this tutorial.

      • What Does the Slope of a Line Mean?What Does the Slope of a Line Mean?

      What Does the Slope of a Line Mean?

      You can't learn about linear equations without learning about slope. The slope of a line is the steepness of the line. There are many ways to think about slope. Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line. Check out this tutorial to learn about slope!

  • Working with Slope-Intercept Form

      • What's Slope-Intercept Form of a Linear Equation?What's Slope-Intercept Form of a Linear Equation?

      What's Slope-Intercept Form of a Linear Equation?

      When you're learning about linear equations, you're bound to run into the point-slope form of a line. This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Watch this tutorial, and learn about the point-slope form of a line!

  • Parallel and Perpendicular Lines

      • How Do You Know if Two Lines Are Perpendicular?How Do You Know if Two Lines Are Perpendicular?

      How Do You Know if Two Lines Are Perpendicular?

      Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1! Watch this tutorial and see how to determine if two equations are perpendicular.

  • Ordered Pairs and The Coordinate Plane

      • What is an Ordered Pair?What is an Ordered Pair?

      What is an Ordered Pair?

      Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and very often, you need to plot ordered pairs in order to see what the graph of a function looks like. This tutorial will introduce you to ordered pairs!

  • Simplifying Expressions

      • What's a Coefficient?What's a Coefficient?

      What's a Coefficient?

      There is a bunch of vocabulary that you just need to know when it comes to algebra, and coefficient is one of the key words that you have to feel 100% comfortable with. Check out the tutorial and let us know if you want to learn more about coefficients!

  • Defining Linear Equations

Further Exploration

  • X- and Y-Intercepts

  • Parallel and Perpendicular Lines

      • How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Parallel Line?How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Parallel Line?

      How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Parallel Line?

      Want to find the slope-intercept form of a line when you're given a point on that line and another line parallel to that line? Remember, parallel lines have the same slope. If you can find the slope of that parallel line, you'll have the slope of your line! In this tutorial, you'll see how to find the slope of your line and use that slope, along with the given point, to write an equation for the line in slope-intercept form. Take a look!

      • How Do You Know if Two Lines Are Perpendicular?How Do You Know if Two Lines Are Perpendicular?

      How Do You Know if Two Lines Are Perpendicular?

      Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1! Watch this tutorial and see how to determine if two equations are perpendicular.