How to find y intercept with one point and slope

How to find y intercept with one point and slope
Real math help.

How Do You Find the Y-Intercept of a Line If You Have Another Point and the Slope?

Note:

Want some practice finding the y-intercept of a line? In this tutorial, you're given the slope of a line and a point on that line and asked to find the y-intercept. Watch this tutorial and see how the equation for the slope-intercept form of a line is used to figure out the answer!

Keywords:

  • problem
  • line
  • linear equation
  • find intercept
  • y-intercept
  • find y-intercept
  • slope
  • given slope
  • given point
  • slope-intercept form
  • coordinates
  • given coordinates
  • slope-intercept
  • slope intercept

Background Tutorials

  • Graphing in the Coordinate Plane

      • How to find y intercept with one point and slope
        How to find y intercept with one point and slope

      What is the X-Coordinate?

      Ordered pairs are a crucial part of graphing, but you need to know how to identify the coordinates in an ordered pair if you're going to plot it on a coordinate plane. In this tutorial, you'll see how to identify the x-coordinate in an ordered pair!

  • Defining Slope

      • How to find y intercept with one point and slope
        How to find y intercept with one point and 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.

  • Working With Intercepts

      • How to find y intercept with one point and slope
        How to find y intercept with one point and slope

      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!

  • Working with Slope-Intercept Form

      • How to find y intercept with one point and slope
        How to find y intercept with one point and slope

      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!

Further Exploration

  • Working With Intercepts

      • How to find y intercept with one point and slope
        How to find y intercept with one point and slope

  • Working with Point-Slope Form

      • How to find y intercept with one point and slope
        How to find y intercept with one point and slope

      What's Point-Slope 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!

Jonathan E.

asked • 10/16/18

Ex: -9,4 with the slope of 7, what is the y-intercept?

Is there an equation I could use.

More

1 Expert Answer

How to find y intercept with one point and slope

Ty D. answered • 10/18/18

Educator with 10+ years of experience from K-12

First you can write the equation in the form of y = mx + b where m = slope and b = y-intercept by plugging in the given point and the slope and solving for b.

y = mx + b

4 = 7(-9) + b

4 = -63 + b

4 + 63 = b

67 = b

The y-intercept is (0,67)

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How do you find the y

The y-intercept is the value of y at which the line crosses the y-axis. To find it, you have to substitute x = 0 in the linear equation.