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

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