Download y = m x + b

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Name
Period
Notes
~ ~yiE~
—
______
~
Writin Linear E uations in Sic e-Interce t Form
~ Identify the initial value (y-intercept) from a table, graph, equation, or verbal description.
Use the slope and y-lntercepts to write a linear function in the form y
representation (table, graph, or verbal description).
=
mx + b from any
~ Graph a linear equation given an equation.
SLOPE-INTERCEPT FORM
misthe
___________________
Write the equation of a line
y
=
mx
+
b
bisthe
given the slope and v-intercept
Write the equation of the line with the given slope and y-intercept.
1) Slope is —2 and a y-intercept of 5
2) Slope is and y-intercept is —3
Write the equation of a line in slope intercept form
given a graph.
4)
y
2 (0,1)
flfl
~nn
•
Slope:
Slope:
Y-lntercept:
Y-lntercept:
Equation:
Equation:
(4,-i)
~
Examples: Write the linear equation for the graph shown.
5)
:~::::::::::::
6)
--~
/
——-\
---
-
~
Slope:
Slope:
Y- Intercept:
Equation:
_________
Y-lntercept:
_________
Equation:
___________
Write the equation of a line in slope intercept form
1~~: find
the
slope
m
Example:
Slope
=
K
y
-2
-3
-1
-1
0
1
1
3
2
5
—
given a table.
Find the slope by: Chance in v
Change in x
=
x
y
-2
Example:
x
y
4
-5
-16
-1
3.5
-2
-7
0
3
0
-1
I
2.6
3
8
2
2
5
14
Slope
=
find the
y-i nterce pt
2nd:
Exam pie:
The y-intercept is when x
Example:
x
=
‘C
y
Example:
)C
y
-2
-3
•2
4
-5
-16
—I
-1
-1
35
-2
-T
0
1
0
3
0
-1
0
14
I
3
1
2.5
3
2
5
2
2
5
y- intercept
y- intercept
y- intercept
b=
b=
What should you do if 0 is not in the table?
x
y
1
11
2
15
3
19
4
23
5
27
Use the substitution method
1. Find the slope m=
2. Fillinthem(slope)intoy=mx+b
y=
x+b
3. Choose an ordered pair, then substitute in the x and y...
now you have to solve for b (y- intercept), so get your b
alone,
slop
______
___
or
sr9~
m=
b=
=~‘~
_______
put it
all
together
3rd:
y
Write a linear equation for the tables shown. y=mx+b
1. Find the m slope
2. Find the b y- Intercept
3. Plug them and b into your slope intercept form.... y = m x + b
Plug in the m and b
x+
____
—1
-6
0
-4
____
-2
2
0
3
2
Equation
x
2
4
7
9
12
y
5
13
25
33
45
x
-2
0
3
6
8
Graph a linear equation
Examples:
y
10
4
5
-14
-20
given an equation
Graph the equations in Slope-Intercept Form....
_________
TIff! Y~IflTG!t~Ci!PT mI~TII
2
y=2x+1
Slope:
Y-Int:
4y—8=2x
Slope:
Y-Int:
S
Linear Functions Exploration
Lucy needs to build a new stand for her life
advice office. She decides that she must
increase her rate from $.05 per visit to
$2.00 per visit. She has $5.00 in savings
and she needs $35.00 to build the stand.
Determine the function “equation” as the
number of visits, x relates to earnings,
f(x). Complete the table with the given information:
1. After filling in the function table, plot the points on the given
Cartesian plane.
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