Transcript
2-2 Slope of a Line
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.
Also called “rate of change”
Describes steepness/slant of a line.◦Bigger slope means steeper line!
More about Slope!
4 types of slopes
Choose any two points:Count the change in y (rise)Count the change in x (run)Divide and reduce.
Slope from a Graph
Example:
Find the slope of the line.
Example:
Find the slope of the line.
Example:
Find the slope of the line.
Example:
Find the slope of the line.
You Try!
Find the slope of the line.
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
Find the slope of the line through the given points:
(-3, -1) and (3, 4)
(-1, 1) and (1, -2)
Examples
Find the slope of the line through the given points:
(-4, -1) and (2, 1)
You Try!
(1, -2) and (7, -2)
(-3, -3) and (-3, -5)
More Examples
(-1, 5) and (6, 5)
(4, 6) and (4, 2)
You Try!
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
The points in the table lie on a line. Find the slope.
Example:
x 1 3 5 7y 2 5 8 11
The points in the table lie on a line. Find the slope.
You Try!
x -3 -2 -1 0y 6 4 2 0
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