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Second Year maths · P.3 · Equations of lines

Write the equation of a line from its intercepts

The y-intercept is where the line crosses the y-axis. Find the slope from the two intercepts.

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  1. A line crosses the x-axis at (−4, 0) and the y-axis at (0, 24). Write its equation in the form y = mx + b.

    Answer: y = 6x + 24

  2. A line crosses the x-axis at (1, 0) and the y-axis at (0, 6). Write its equation in the form y = mx + b.

    Answer: y = -6x + 6

  3. A line crosses the x-axis at (5, 0) and the y-axis at (0, −25). Write its equation in the form y = mx + b.

    Answer: y = 5x - 25

Tip: The y-intercept is where the line crosses the y-axis. Find the slope from the two intercepts.

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