objective - to find the slope of a line. slope -the rate of change that determines the direction of...
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Objective - To find the slope of a line.
Slope - The rate of change that determines the direction of a line and how steep it is.
Slope = vertical change
horizontal change
y
x
Slope = yx
Slope = riserun
Slope = m+3+2
=
m =-6-4
32
=
+3
+2
-6
-432
=
Find the slope of the line below.
x
y
Slope = riserun
Slope = +1+4
m =14+1
+4
-2
-8 m =-2-8 =
14
Find the slope of the line below.
x
y
Slope = riserun
Slope = +3+1
m = 3
+3
+1
Find the slope of the line below.
x
y
Slope = riserun
Slope = -2+3+3
-2
m =23
Find the slope of the line below.
x
y
Slope = riserun
Slope = -2+1
+1
-2 m = -2
Find the slope of the line below.
x
y
Slope = riserun
Slope = +3+4
m =34
+3
+4
Find the slope of the line below.
x
y
Slope = riserun
Slope = -1+2
+2
-1
m =12
2 1y y
x
y
2 2(x , y )
1 1(x , y )run
rise
Slope = riserun
Slope Formula
2 1y y
2 1x x
m 2 1x x
5 7m 9 5m
Use the slope formula to find the slope between the given points.
1) (2, 5) (6, 9)1 2
2) (-3, 7) (5, -5)1 2
2 1
2 1
y ym
x x
6 244
m 1
2 1
2 1
y ym
x x
5 3 128
3m2
8 2m 1 4 m
Use the slope formula to find the slope between the given points.
3) (6, 1) (-3, 4)2 1
4) (3, -2) (6, 8)1 2
2 1
2 1
y ym
x x
6 3 3
9
1m3
2 1
2 1
y ym
x x
6 3103
133
10m3
5 1m 4 4 m
Use the slope formula to find the slope between the given points.
(2, -1) (2, 5)1 2
(-2, 4) (3, 4)1 2
y
x
All horizontal lineshave slope = 0
All vertical lineshave undefined slope
“zero slope” “no slope”
m = 0
m = undefined2 1
2 1
y ym
x x
3 2 0m5
m 0
2 1
2 1
y ym
x x
2 26m0
m undefined
Positive Slope vs. Negative Slope
x
y
1m4
2m3
m 15m3m 5m 4
m 2m 1
1m3
m = 0
m = undefined
Slope as a Rate of ChangeThe graph below represents Joe’s drive to work.Describe what happens during each segment.
Distance from home
Time
A B
CD
E
FG H I
J