What does the word "slope" make you think of? We start thinking about skiing down the Appalachians in a snazzy snowsuit and mirrored goggles. We're carving up the mountain, riding a wave of soft powder to the bottom, high-fiving mountain lions and bears as we pass them by. Good times.
The second thing we start thinking about is lines and graphing. The slope of a line measures the line’s steepness, just like the slope of a mountain measures its steepness. Now we're picturing ourselves skiing down the graph of a function.
Example 1
Use the graph below to find the slope. |
Example 2
Find the slope of the line passing through (0, -0.5) and (1, -3.5). |
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Example 3
Find the slope between the points (1, 3) and (1, 4). |
Example 4
Are the lines passing through these points parallel, perpendicular, or neither? (1, 5) and (-1, 1) (-1, -9) and (2, -3) |
Exercise 1
Use the graph below to find the slope.
Exercise 2
Use the graph below to find the slope.
Exercise 3
Are the lines that pass through these points parallel, perpendicular, or neither?
(-2, -5) and (3, 5)
(1, 8) and (-3, -4)
Exercise 4
Are the lines that pass through these points parallel, perpendicular, or neither?
(-1, 5) and (0, 2)
(3, 1) and (0, 0)
Exercise 5
Are the lines that pass through these points parallel, perpendicular, or neither?
(1, 0) and (3, -2)
(-2, -2) and (1, -5)