Slope

From Department of Mathematics at UTSA
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Slope Between Two Points

Given two points and , the slope between these two points is . That is, the slope between two points is the difference between the y-coordinates of the points, divided by the difference between the x-coordinates of the points. For example, the slope between the two points (1, 3) and (5, 6) is . The slope between (-1, -1) and (15, -21) is .

Point-Slope Form

The equation for a line with a slope of that goes through some point , in point-slope form, is . For example, the equation of a line with a slope of 3 that goes through the point (1, 4) is . The equation of a line with a slope of that goes through point (-7, -7) is .

Slope-Intercept Form

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