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The Two Intercepts

Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 26 of 61.

You can find both intercepts of $3x+2y = 6$ the same way. Set $y = 0$ to get $3x = 6$ , so $x = 2$ and the x-intercept is (2, 0). Set $x = 0$ to get $2y = 6$ , so $y = 3$ and the y-intercept is (0, 3).

$3x + 2y = 6 and its two intercepts$

3x + 2y = 6 and its two intercepts

To find an intercept, set the other variable to zero and solve. Every intercept is a point with one coordinate equal to zero, because it lies on an axis. The x-intercept has $y = 0$ and the y-intercept has $x = 0$ .

Challenge

Medium

The line $2x+5y = 10$ is drawn. Work out both intercepts and place them.

Try it yourself

2x+5y = 10

Place the points

All lessons in Graphs & Systems

1Points and Rules

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4Slope-Intercept Form

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7Parallel & Perpendicular

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10Systems by Graphing

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2The Whole Plane

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5Point-Slope Form

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8Function Notation

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11Solving Systems Exactly

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