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Beginning Pre-Calculus for Game Developers by Boris Meltreger, John P. Flynt

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The Point-Slope Equation

The previous sections reveals that if you start with the y-intercept and the slope of a line, you can generate additional coordinate sets. When you determine points in this way, you work with differences between the two sets of coordinates (the deltas). As Figure 6.11 illustrates, you can always employ the differences you find between the run and rise values of two coordinates to calculate the slope of the line. At the same time, you can make use of a given point along with the slope to determine the position of another point.

Figure 6.11. The slope remains a ratio between the rise and the run of a line.

To examine ...

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