Linear Functions Worksheet - Rate Of Change And Slope
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12Chapter 5 – Linear Functions
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5.1: Rate of Change and Slope
Rate of Change – shows relationship between changing quantities.
On a graph, when we compare rise and run, we are talking about steepness of a line (slope).
You can use and 2 points on a line to find slope.
Slope (m) =
=
Example: Find the slope of the line.
There is also a formula to use to find slope. Given two points (x
, y
) and (x
, y
)
1
1
2
2
y
y
2
1
Slope (m) =
; where (x
, y
) and (x
, y
) are points in the plane
1
1
2
2
x
x
2
1
You can either use the formula, or you can plot points and count.
REDUCE as much as possible, but leave in fraction form.
Example: Find the slope of a line that passes through the given points
1) (-1,6) and (5, 8)
2) Passing through (-1, -2) and (-4, 1)
3)Passing through (-4, -2) and (-8, -3)
4) Passing through (4, 5) and (4, 7)
5) Passing Through (1, 2) and (-1, 2)
Keller – Algebra 1 Notes
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