Download 3.5 graph slope intercept form ink.notebook

3.5 graph slope intercept form ink.notebook
October 28, 2016
Page 134
Page 133
Page 132
3.5 Graphing in
Slope-Intercept
Form
Lesson Objectives
Standards
Page 135
3.5 Graphing in Slope­Intercept Form
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3.5 graph slope intercept form ink.notebook
Standards
Lesson Notes
A.SSE.2 A.CED.2 A.REI.10 F.IF.2 F.IF.4 F.IF.7 F.IF.8 F.BF.1 I will rewrite a linear function into slope­intercept form I will write the equation of a line from a given graph in slope­intercept form I will graph a linear function and show that the points on the graphs are solutions I will evaluate a function in slope­intercept form for a specific value I will graph a function using slope and y­intercept I will graph a linear function using slope and y­intercepts I will convert standard form to slope­intercept form
I will write a linear function from a graph into slope­intercept form F.LE.2
I will write a linear equation into slope­intercept form from a graph
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October 28, 2016
Lesson Objectives
Standards
Lesson Notes
A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and show intercepts.
S.ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data
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slope (m) = 4 y-intercept = -5
y = slope(x) + y-int
y = mx + b
y = __x + __
y
y = mx + b
x
rise
run y-intercept
y = __x + __
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3.5 graph slope intercept form ink.notebook
October 28, 2016
Graphing a line in slope-intercept form:
1. Identify the y-intercept.
y = -2x + 3
(The number by itself.)
If it is positive
you go up.
ordered pairs
(
,
vs
If it is negative
you go down.
slope
)
rise
run
2.
Identify the slope.
(The number in front of x.)
You might have to put
into fraction form.
plot point first (
,
)
Then use slope to get more points
Rise
Run
if neg
if pos
change to:
y = -2x + 3
y = -2x + 3
1
from your starting dot
go
2
then
1
always to right
3. Connect your
3 dots.
y = -2x + 3
Straight line
with arrows.
Use the slope and y-intercept to graph each equation.
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3.5 graph slope intercept form ink.notebook
October 28, 2016
4. y = 2x – 4 6.
9. y = x 4
3.5 graph slope intercept form ink.notebook
October 28, 2016
Slope Intercept Form:
y = mx + b, where m is the slope and b is the y­intercept
Put into slope intercept
form by getting y by
itself.
a) Add or subtract the x
2x + y = 3
Put into slope intercept
form by getting y by
itself.
Put into slope intercept
form by getting y by itself.
Must do both part
a and b
b) Divide each piece by
what is in front of y
a) Add or subtract the x
2y = 4x + 6
6x + 3y = 9
b) Divide each piece by
what is in front of y
Put into Slope-intercept form. (y = mx + b form)
Remember, slope is a reduced fraction.
7. 2x + y = 12
8. 4x – y = 9
Put into Slope-intercept form. (y = mx + b form)
Remember, slope is a reduced fraction.
9. x + 2y = 8
10. –3x + y = 9
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3.5 graph slope intercept form ink.notebook
October 28, 2016
Put into Slope-intercept form. (y = mx + b form)
Remember, slope is a reduced fraction.
11. 2x – 3y = 6
12. x + 4y = 12
a) y = 4x – 2 b)
On Your
Whiteboards
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3.5 graph slope intercept form ink.notebook
October 28, 2016
Put into Slope-intercept form. (y = mx + b form)
Remember, slope is a reduced fraction.
c)
d) x + 3y = 9
e) 2x ­ y = 8
Help students discover
that the equation f(x) = mx + c corresponds
to slope­intercept form
y = mx + b.
Have students press
Compute Slope to see a process for finding the slope of each line.
Pull for Teacher's Notes
Slope­Intercept Form
mx +m and b form)
Put into Slope-intercept form. (y =
Set the c buttons to graph:
Remember, slope is a reduced fraction.
1) f(x) = 5x ­ 4
1) f(x) = 5x ­ 4
2) f(x) = ­x + 2
Hint: Slope­intercept from is
y = mx + b.
Pull for Answer
Then, determine the slope and
y­intercept for each line.
Pull for Instructions
f) 5x ­ 2y = 10
slope: 5 y­intercept:
2) f(x) = ­x + 2
slope: ­1 y­intercept:
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3.5 graph slope intercept form ink.notebook
October 28, 2016
On the
Worksheet
Homework
slope ­ intercept form: y = mx + b
U
What letter does
your line go through?
F
A
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3.5 graph slope intercept form ink.notebook
October 28, 2016
4. y = 2x – 3 5. y = –3x – 1 H
C
N
D
N
I
S
L
I
K
R
What letter does your
line go through?
What letter does your
line go through?
8. y = ­x + 3
9. y = 4x
W
N
T
H
A
E
O
Y
What letter does your
line go through?
U
R
I
C
S
What letter does your line go through?
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3.5 graph slope intercept form ink.notebook
What Happened to the Little Boy Who Swallowed a Silver Dollar?
3. 4x ­ y = ­1
4. ­3x + 2y = 8
October 28, 2016
What is it called when a giraffe swallows
a toy jet?
1. 2x + y = 5
2. ­7x + y = ­2
5. ­x + 3y = ­12
6. ­5x ­ 2y = 18
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3.5 graph slope intercept form ink.notebook
October 28, 2016
9. 7x + 2y ­ 3 = 0
8. 9y ­ 2x = 0
7. 8x ­ 3y = ­9
y = Write each equation in slope­intercept form. Then use the slope and y­intercept to graph it. The graph will cross a letter outside the grid. WRITE this letter in the box containing the exercise number.
­
­
10. 2x + y = 1
7 x + 3
2
2
13. 3x ­ 5y = 20
12. x + 3y = 9
11. 3x + 2y = 4
3
y = x ­ 2
2
G
K S
R
S
H
F
N
P
T
T
E
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3.5 graph slope intercept form ink.notebook
October 28, 2016
15. 5x + 4y = 0
14. 3x ­ y = 1
S
C
E
A
N
T
A
O
H
R
I
E
D
7
R
W
N
E
L
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