Download 2.3 Linear Functions and Slope

2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
HW p64;1,10-24 all, 31,32,40,41
1.) D = {0,3,4,} R = {-2,1,2,4}
10.) no
11.) yes
12.) no
13.) yes
14.) no
15.) yes
16.) yes
17.) 71, (4,71)
18.) 3,
( -5,3)
19.) -15, ( 9, -15)
20.) -65, (7, -65)
21.) -2, ( 3, -2)
40.) B
41.) H
22.)
23.) -132, ( -11, -132)
24.)
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
2.3 Linear Functions and Slope Intercept Form
Remember Algebra I?
Most lines have these characteristics:
y
5
1.) Slope
2.) y-intercept
4
3
2
Slope =
1
y­intercept =
x
­5
­4
­3
­2
­1
0
1
2
3
4
5
­1
­2
­3
­4
What is the equation of this line?
­5
slope intercept form
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
What is are some differences between the first 3 lines and the vertical line?
The vertical line:
1.) Is not a function
2.) Has no slope
3.) Has no y-intercept
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
Calculate the slope passing through the following points...
(rely on your calculator to do the heavy work!)
x-intercept- the point where a line crosses the x-axis. (x,0).
y- intercept- the point where a line crosses the y-axis. (0,y)
(also...the b value in slope-intercept form)
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
Write an equation for each line.
1.) m=6 and the y-intercept is (0,-5).
3.)
2.) m = 0 and the y-intercept is (0,4)
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
Write each equation in slope-intercept form.
"Solve for y"- easy to graph a line
that is solved for
y!
1.)
2.)
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
What is the slope and y-intercept of each equation?
think... y=0x+4
1.)
2.)
Think...there is no y! that only
happens for vertical lines...
3.)
m=
m=
m=
b=
b=
b=
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
Graph the equation.
1. Solve for y.
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
­1
x
0
1
2
3
4
5
6
­2
­3
2. Find the slope(m)
and the y-intercept(b).
­4
­5
­6
3. Draw!
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
Graph the equation.
y
6
5
4
3
2
1
­6
­5
­4
­3
­2
­1
­1
x
0
1
2
3
4
5
6
­2
­3
­4
­5
­6
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
HW p. 78; 9-15 odd, 18,19,20,23-35 odd, 47,51,59
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
Find the slope of the line through the two points.
Find the slope and y ­intercept of the line
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2.3 Linear Functions and Slope­Intercept Form.notebook
September 25, 2015
HW p. 78; 9-15 odd, 18,19,20,23-35 odd,
18.) 20.) y= -2
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