3.5 writing and graphing slope-intercept form

3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
October 31, 2016
Page 136
3.5 Writing and
graphing lines in
Slope-Intercept
Form
Standards
Lesson Objectives
Lesson Notes
Standards
3.5 Writing and Graphing Slope­Intercept Form
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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Press the tabs to view details.
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3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
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
October 31, 2016
on the outside
HOY
y = #
Graph will Horizontal Equations be a lines have look like y = #. Horizontal a ZERO Graph line.
slope.
crosses 0
m =
= 0 the y­axis.
k
x = #
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x = #
Graph will be a Vertical line.
Vertical lines have an undefined slope.
m =
n
= und
0
Equations look like x = #. Graph crosses the x­axis.
on the outside
V
U
X
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3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
October 31, 2016
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3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
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3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
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3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
October 31, 2016
On Your
Whiteboards
a) –3x + y = –2
b) x + 2y = 2
On the
Worksheet
6
3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
October 31, 2016
Write each equation in slope­intercept form.
Then graph.
Homework
Print the letter your line goes though in the box at the bottom.
2. 4y = x ­ 8
1. 2y = 3x + 2
y = 1x - 2
y = 3x + 1
2x + 2
3
y =
y = -2x - 3
4
2
4. 3y = ­2x + 6
3. 2x + y = ­3 F
W
L
I
A
V
D
O
U
R
What letter does your
line go through?
S
E
What letter does your
line go through?
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3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
5. ­3x + y = ­1
y =
3x - 2
5
y =
4x + 0
3
y = 2x + 2
3
L
H
G
8. ­3y = ­2x
7. 3y = ­4x + 0
6. 5y = ­3x ­ 10
y = 3x - 1
October 31, 2016
U
M
K
T
N
E
T
What letter does your I
line go through?
B
What letter does your
line go through?
9. y = 3
P
y = 3
D
C
What letter does your
line go through?
8
3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
1. y = ­2
2. x = 4
Write each equation in slope­intercept form.
G
Then graph.
Cross off the letter your line goes though in the line at the bottom. Write the remaining letters in the box.
October 31, 2016
S
C
F
D
P
What letter does your
line go through?
5. 3x + y = 4
6. 5y = 6x + 20
4. x + y = 2
3. ­2x + y = ­5
G
T
I
U
N
W
L
B
W
What letter does your
line go through?
H
C
O
What letter does your
line go through?
9
3.5 writing and graphing slope­intercept form ­ poor man ink.notebook
October 31, 2016
8. 2x ­ 7 = 0
7. x + 3 = 0
9. ­2x = 2y + 6 B
E
O
H
S
A
N
I
What letter does your
line go through?
E
What letter does your
line go through?
10