slope-intercept form 4.4 1.compare lines with different slopes. 2.graph equations in slope-intercept...
TRANSCRIPT
Slope-Intercept Form4.44.4
1. Compare lines with different slopes.2. Graph equations in slope-intercept form.3. Find the slope of a line given two points on the line.
Objective
Compare lines with different slopes.
Slope of a LineSlope of a Line
positive slope negative slope zero slope undefined slope
Objective
Find the slope of a line given two points on the line.
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The Slope Formula
2 1
2 1
.y y
mx x
Rise:
y2 – y1
Run:
x2 – x1
run
risemslope
in x change
yin change
x
y
Given two points(x1, y1) and (x2, y2), where x2 x1,
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Find the slope of the line connecting the given pointsFind the slope of the line connecting the given points..
(4, 6) and (–2, 8)
2 1
2 1
y y
mx x
8 6
2 4m
2
6m
1
3
Find the slope of the line connecting the given pointsFind the slope of the line connecting the given points..
(1, 5) and (–2, 3)
32
32
1253
m
Find the slope of the line connecting the given pointsFind the slope of the line connecting the given points..
(-4, -6) and (2, -3)
21
63
4263
4263
m
Find the slope of the line connecting the given pointsFind the slope of the line connecting the given points..
(3, 8) and (–2, 8)
05
032
88
m
Find the slope of the line connecting the given pointsFind the slope of the line connecting the given points..
(7, -2) and (7, 4)
Undefined
06
7724
m
Use a point and the slope to graph a line.Use a point and the slope to graph a line.
Graph the line through the point with the given slope.
3
25,2 m
Which direction should the line point?
1. Plot the point.
2. Use the slope to find a second point. Rise then run!
rise
run
Graph the line through the point with the given slope.
5
43,0 m
Which direction should the line point?
Use a point and the slope to graph a line.Use a point and the slope to graph a line.
Use a point and the slope to graph a line.Use a point and the slope to graph a line.
Graph the line through the point with the given slope.
72,3 m
Which direction should the line point?
Objective
Graph equations in slope-intercept form.
Slope Intercept FormSlope Intercept Form
bmxy m is the slope
b is the y-intercept
53
2 xy
Graph the line given in slope-intercept form.Graph the line given in slope-intercept form.
Point?
Slope?
Which direction should the line point?
53
2 xy
(0, 5)
32
Down from left to right
Graph the line given in slope-intercept form.Graph the line given in slope-intercept form.
Point?
Slope?
Which direction should the line point?
43 xy
(0, -4)
13
3
Up from left to right
Graph the line.Graph the line.
Which method?
Standard Form: x-, y-intercepts
Slope-Intercept Form: point and slope
63 yx63 xy
Graph the line.Graph the line.
623 yx
Slide 4- 20Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
What is the slope of the line 3x + y = 6?
a) m = 3
b) m = 3
c)
d) m = 2
1
2m
Slide 4- 21Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
What is the slope of the line 3x + y = 6?
a) m = 3
b) m = 3
c)
d) m = 2
1
2m
Slide 4- 22Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
How would you graph the line y = 3x – 2?
a) Plot (0, –2), down 2, right 3
b) Plot (0, –2), down 3, right 1
c) Plot (0, 2), up 3, left 2
d) Plot (0, –2), up 3, right 1
Slide 4- 23Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
How would you graph the line y = 3x – 2?
a) Plot (0, –2), down 2, right 3
b) Plot (0, –2), down 3, right 1
c) Plot (0, 2), up 3, left 2
d) Plot (0, –2), up 3, right 1
Slide 4- 24Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
What is the slope of the line through the given points (5, 6) and (6, 3)?
a) m = 9
b) m = 9
c)
d)
1
9m
9
11m
Slide 4- 25Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
What is the slope of the line through the given points (5, 6) and (6, 3)?
a) m = 9
b) m = 9
c)
d)
1
9m
9
11m