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Lesson: Geometry Challenging - 28

Equations Of Lines

[Page 28 of 32]

All straight lines on two-dimensional coordinate planes can be expressed by the equation y = mx + b, where m is the slope, b is the point at which the line intercepts the y-axis, and x and y are the x and y-coordinates.

The slope and the y-intercept are constants. They define the line. For every point on the line, there is one set of x and y-coordinates.

If we know the location of two points on the line, we can find the equation for the line.

The dotted green line on the coordinate plane above has a slope of . The line crosses the y-axis when it has an x-value of 0, so its y-intercept is at –5. Therefore, the equation of the line is .

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