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Straight Line on Axes

A straight line crosses a grid with a vertical and a horizontal axis. Its steepness and where it cuts the axes describe how the line behaves.

In the picture

  1. The y-intercept: the point where the line crosses the vertical axis.
  2. The x-intercept: the point where the line crosses the horizontal axis.
  3. Another point on the line, used to check its direction.
  4. The slope triangle: the rise over the run between two points on the line.

Examples

  • A phone plan with a fixed monthly fee plus a charge for each gigabyte used.
  • A walk at a steady speed, where distance increases by the same amount each minute.

Quiz: Straight Line on Axes (Age 15)

  1. What does the y-intercept of a straight line tell you?

    • The point where the line crosses the horizontal axis.
    • The point where the line crosses the vertical axis.
    • How steeply the line rises or falls.
  2. What does the x-intercept of a straight line tell you?

    • How steeply the line rises or falls.
    • The point where the line crosses the vertical axis.
    • The point where the line crosses the horizontal axis.
  3. A straight line passes through (0, 2) and (3, 8). Using a slope triangle, which calculation gives the slope?

    • (8 − 3)/(2 − 0) = 5/2
    • (8 − 2)/(3 − 0) = 6/3
    • (3 − 0)/(8 − 2) = 3/6

The answers, each with its explanation, are in the app. This lesson has left the free week, so its quiz is part of the subscription.

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Maths, Age 15