2.2 Slope of a Line. Slope Meet Joe….Joe Cool Joe has a disease, he can only walk to the right....
-
Upload
melvyn-lucas -
Category
Documents
-
view
214 -
download
0
Transcript of 2.2 Slope of a Line. Slope Meet Joe….Joe Cool Joe has a disease, he can only walk to the right....
2.2 Slope of a Line
Slope
vertical change risem
horizontal change run
Meet Joe….Joe Cool
• Joe has a disease, he can only walk to the right.
• Use Joe to help you find the slope
• Always start on the left to help Joe walk to the right
5
4
3
2
1
-1
-2
-3
-4
-5
-6 -4 -2 2 4 6 8
“slope”
x"" in change
y"" in changeslope
2
3 run
rise
5
4
3
2
1
-1
-2
-3
-4
-5
-6 -4 -2 2 4 6 8
Graph the line containing the points (-4,2) and (2,-3) and find the slope.
x"" in change
y"" in changeslope
5
6
Slope of a Horizontal line (y=#)
Always 0
HOYH: horizontal line0: 0 slopeY: y= #
What is the slope?
(5,4)(-6,4)
Horizontal line = “0” slope
2 1
2 1
y y
xm
x
Slope of a Vertical Line (x=#)
Always UndefinedVUXV: Vertical LineU:Undefined slopeX: X=#
What is the slope?
(3,8)
(3,-2)
Vertical line = “undefined”
2 1
2 1
y y
xm
x
Slope Formula
1, 1 2 2: ( ) ( , )given x y and x y
2 1
2 1
y ym
x x
Find the slope of the line containing (2,2) and (8,9)
2 1
2 1
("m")y y
slopex x
9-2 = 7 8-2 6
Find the slope of the line containing (-4,-6) and (3,-2)
M= -2 - -6 = -2 + 6 = 4 3 - -4 3 + 4 7
2 1
2 1
("m")y y
slopex x
Find the slope of the line containing (1,1) and (3,5)
5 1
3 1m
4 2
2 1
2 1
2 1
("m")y y
slopex x
Find the Slope from a table
Hours (x)
1 2 3 4
Feet (y)
-12 -14 -16 -18
+1 +1 +1
-2 -2 -2change in y
change in x
2
1
A line contains points (5, 3) and (x, 9) and has slope = 3. Find the value of x.
3 15 6x
3 21x 7x
3= 9-3 x-5
3 = 6 x-5
A line contains points (9, -5) and (-8, k) and has slope = 0. Find the value of k.
5 k
Homework
TB: Page 53 (1-3 all, 7-18 all, 22-34 even)
Adventures of Slope Dude
• http://www.youtube.com/watch?v=ZzU8x5cMR-w