Name ____________________________________________________________________ Period ________
9.6 Notes – Writing Linear Equations in Slope-Intercept Form
Identify the initial value (y-intercept) from a table, graph, equation, or verbal description.
Use the slope and y-intercepts to write a linear function in the form     from any
representation (table, graph, or verbal description).
Graph a linear equation given an equation.
SLOPE-INTERCEPT FORM y = m x + b
m is the _________________________ b is the _____________________________
Write the equation of a line given the slope and y-intercept.
Write the equation of the line with the given slope and y-intercept.
1) Slope is  and a y-intercept of 2) Slope is
and y-intercept is 
Write the equation of a line in slope intercept form given a graph.
3) 4)
Slope: ___________ Slope: ___________
Y-Intercept: __________ Y-Intercept: __________
Equation: ________________________ Equation: _______________________
Examples: Write the linear equation for the graph shown.
5) 6)
Slope: ___________ Slope: ___________
Y-Intercept: __________ Y-Intercept: __________
Equation: _________________________ Equation: _________________________
Write the equation of a line in slope intercept form given a table.
m = ____________
Example: Example:
Slope = ______________ Slope = ______________
1
st
: find
the
slope
Find the slope by: Change in y
Change in x
x y
-1 -6
0 -4
1 -2
2 0
3 2
The y-intercept is when x = ________
Example: Example: Example:
y- intercept y- intercept y- intercept
b = __________ b = __________ b = __________
What should you do if 0 is not in the table?
Use the substitution method
1. Find the slope m = __________
2. Fill in the m (slope) into y = m x + 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.
m= _____________
b = ____________
Write a linear equation for the tables shown. y = m x + b
` 1. Find the m slope
2. Find the b y- intercept
3. Plug the m and b into your slope intercept form…. y = m x + b
Plug in the m and b y = ______ x + ______
Equation _________________________
2
nd
: find the
y-intercept
3
rd
: put it
all
together
Graph a linear equation given an equation
Examples: Graph the equations in Slope-Intercept Form…. _____________________________
Graph the y-intercept first!!
2
3
2
xy
Slope: Y-Int: Slope: Y-Int:
xy 284
x
y
2
5
4
13
7
25
9
33
12
45
x
y
-2
10
0
4
3
-5
6
-14
8
-20
Name ________________________________________________ Period ________
9.6 HW
Write the equation of the line with the given slope and y-intercept.
1. Slope is -3 and a y-intercept of 7 2. Slope is
and y-intercept is -5
Write an equation based on the graph.
3. 4.
5. 6.
SCORE:
_____ /_____
_________%
Find the slope. Show your work!
7. y = 4x + 5 8. (-3, -8)(-12, -20) 9. (17, 11)(5, 0)
m = _________ m = _______ m = ________
Given the table, find m. Show your work!
10. 11. 12.
m = ______________ m = ______________ m = ______________
Write a linear equation for the tables shown. y = mx + b y = _____x + _____
SHOW YOUR WORK!
13. 14.
x
y
-2
3
-1
6
0
9
1
12
2
15
x
y
-14
3
-12
6
-10
9
-8
12
-6
15
x
y
-6
12
-5
14
-4
16
-3
18
-2
20
x
y
-6
12
-5
14
-4
16
-3
18
-2
20
x
y
-14
3
-12
6
-10
9
-8
12
-6
15
15. 16.
Graph the equations in Slope-Intercept form.
17.
4
2
1
xy
18.
3
2
3
xy
19.
2
4
3
xy
20.
12 xy
21.
13 xy
22.
xy 3510
x
y
3
2
6
4
9
6
12
8
15
10