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How to Find the Vertical Intercept

The vertical intercept is the point at which a line crosses the y-axis. The y-axis is the vertical axis, so the vertical intercept is usually called the y-intercept. In order to find the vertical intercept, you need to know the slope and one point on the line. If you do not know the slope, you can find it if you know two points on the line. Once you have the slope, you can calculate the vertical intercept.

Things You'll Need

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Instructions

    • 1

      Calculate the slope by dividing the change in rise over the change in the run of the line. (If you have already calculated the slope, skip this step.) To find the change in the rise, subtract the first y-coordinate from the second y-coordinate. To find the change in the run, subtract the first x-coordinate from the second x-coordinate. Then divide the change in the rise by the change in the run. For example, if your points are (-2, -4) and (3, 11), subtract -2 from 3 to get 5, and subtract -4 from 11 to get 15. Then divide 5 by 15 to find that the slope equals 1/3.

    • 2

      Multiply the slope by the x-coordinate of the first point on the line. In this example, multiply 1/3 by -2 to get -2/3.

    • 3

      Subtract the result from the y-coordinate of the same point to find the vertical intercept. In this example, subtract -2/3 from -4 to find that the vertical intercept equals -3.33.

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