www.VirtualNerd.com

How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form?

Calculate the x- and y-intercepts for the equation of the line y = 2x - 2

Summary

  1. The x-intercept occurs when y is 0, so to find the x-intercept we can just set y=0
  2. When we do, 2x minus 2 equals 0, and we can solve for x
  3. Add 2 to both sides to get 2 equals 2x
  4. Dividing by 2 gives us x equals 1
  5. The x-intercept is at (1,0)
  6. The y-intercept occurs when x is 0, so to find the y-intercept we can just set x=0
  7. When we do, y equals 2 times 0 minus 2, and we can solve for y
  8. Anything times 0 is just 0, so y equals -2 from the start
  9. The y-intercept is at (0,-2)

Notes

    1. The x-intercept occurs when y is 0, so to find the x-intercept we can just set y=0
    1. When we do, 2x - 2 = 0, and we can solve for x
    1. We are solving for x
    2. The left side is 0+2 = 2
    3. The right side is 2x-2+2 = 2x
    1. We are solving for x
    2. The left is 2/2 = 1
    3. The right is 2x/2 = x
    1. So the ordered pair for the x-intercept is (1,0)
    1. So the ordered pair for the x-intercept is (1,0)
    1. The y-intercept occurs when x is 0, so to find the y-intercept we can just set x=0
    2. Then solve for y
    1. With x=0, the equation becomes y = 2 • 0 - 2
    1. So the right hand side is -2 from the start!
    1. So the ordered pair for the y-intercept is (0,-2)
    1. So the ordered pair for the y-intercept is (0,-2)
    1. The ordered pair for the y-intercept is (0,-2)