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© 2011 The Enlightened Elephant
)( 1,1 yx
)( 2,2 yx
Horizontal Change
Vertical Change
2y
1y
2x
1x
Slope = Vertical Change
Horizontal Change=
)( 12 yy )( 12 xx
SlopeVertical Change
Horizontal Change
Vertical Change 12 yy
Horizontal Change 12 xx
To Find Vertical Change
To Find Horizontal Change
What are the lengths of the yellow and red lines?What are the lengths of the orange and purple lines?
© 2011 The Enlightened Elephant
)3,5(
)9,9(
Horizontal Change
Vertical Change
)39( )59( 2
3
4
6
Example
Find the slope between (5, 3) and (9,9)
Slope = Vertical Change
Horizontal Change
=)( 12 yy )( 12 xx
= =
© 2011 The Enlightened Elephant
)93( )95( 2
3
4
6
= =
or
Slope = Vertical Change
Horizontal Change(4,2)
(2,-1)
1. Find the slope between (2, -1) and (4, 2)
))1(2( )24( 2
3= =
You Try It!
)( 12 yy )( 12 xx
=
© 2011 The Enlightened Elephant
)21( )42( 2
3
2
3
= =
or
Slope = Vertical Change
Horizontal Change(-5,1)
(-2,-3)
2. Find the slope between (-5, 1) and (-2, -3)
)13( ))5(2( 3
4
3
4
= =
)( 12 yy )( 12 xx
=
You Try It!
))3(1( ))2(5( 3
4
3
4
= =
or
Let’s play a GAME to practice!
DirectionsCalculate the slope between the two given points, find it and circle it on your paper faster than your opponent!
© 2011 The Enlightened Elephant
1. (19,-16) and (-7, -15)
-1/26
2. (-4, 7) and (-6, -4)11/2
3. (17, -13) and (17, 8)
undefined
4. (3, 0) and (-11, 15)
-15/14
5. (6, -10) and (-15, 15)
-25/21
6. (3, -20) and (5, 8)
14
7. (-19, 12) and (-9, 1)
-11/10
8. (6, -12) and (15, -3)
1
9. (1, -19) and (-2, -7)
-4
10. (19, 3) and (20, 3)
0
11. (20, 8) and (9, 16)
-8/11
12. (9, 3) and (19, -17)-2
Find the slope between the two points.)( 12 yy )( 12 xx
m=
© 2011 The Enlightened Elephant
0-15/14
14
11/2
-2/5
-2
-11/10
-3/19
-1/32
undefined
-25/21
-4
1
-1/26
-8/11
3
17/5
4/11
-1/5
© 2011 The Enlightened Elephant
DirectionsCalculate the slope between the two given points, find it and circle it faster than your opponent!
