The document defines slope as the steepness and direction of a line, calculated as the rise over the run or change in y over the change in x between two points on the line. It provides examples of calculating the slope between two points and finding the y-value of a third point given the slope. It also describes how the sign of the slope indicates whether a line is diagonal up/right, horizontal, or diagonal down/right and when the slope is undefined when the line is vertical.

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2. Slope of a Line
refers to the steepness and direction of a line
rise change in y (vertical)
Slope = run
= change in x (horizontal)
Ramp A Ramp B
6m 3m
12m
12m
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3. rise change in y (vertical)
Slope = run
= change in x (horizontal)
m = y2 ­ y1
Example: x2 ­ x1
Find the slope of the line that passes through (3, 2) and (­1, ­5)
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4. • Find the slope of the line adjoined by (­3, 6) and (4, ­1)
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5. If the slope of a line adjoined by (6, 5) and (4, y) is 4, find y
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8. • if m > 0, line is diagonal and ____ to the right
• if m = 0, line is ____________
• if m < 0, line is diagonal and _____ to the right
• if m is undefined (denominator = 0), line is ___________
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9. Assignment
Exercise # 7
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