2 2 slope of a line
Transcript of 2 2 slope of a line
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2-2 Slope of a Line
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What is Slope?The slope of a line is a ratio of the
change in y (rise) to the change in x (run) between any two points.
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Also called “rate of change”
Describes steepness/slant of a line.◦Bigger slope means steeper line!
More about Slope!
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4 types of slopes
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Choose any two points:Count the change in y (rise)Count the change in x (run)Divide and reduce.
Slope from a Graph
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Example:
Find the slope of the line.
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Example:
Find the slope of the line.
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Example:
Find the slope of the line.
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Example:
Find the slope of the line.
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You Try!
Find the slope of the line.
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Remember:
When given two points (x, y) and (x, y)To find:◦Change in y: subtract y values◦Change in x: subtract x values
(in the same order you did the y’s!!)
Slope from Two Points
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Find the slope of the line through the given points:
(-3, -1) and (3, 4)
(-1, 1) and (1, -2)
Examples
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Find the slope of the line through the given points:
(-4, -1) and (2, 1)
You Try!
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(1, -2) and (7, -2)
(-3, -3) and (-3, -5)
More Examples
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(-1, 5) and (6, 5)
(4, 6) and (4, 2)
You Try!
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Remember:
Example: The points in the table lie on a line.
Find the slope.
Slope from a Table
x 1 4 7 10y 8 6 4 2
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The points in the table lie on a line. Find the slope.
Example:
x 1 3 5 7y 2 5 8 11
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The points in the table lie on a line. Find the slope.
You Try!
x -3 -2 -1 0y 6 4 2 0