Name: ___________________
Algebra I Unit 02 – Lesson 01
Graphing Linear Functions
062816
Graphing Linear Functions
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Example 1: Consider the equation y = 2x – 3
Complete the table of values
for the equation y = 2x – 3.
x
2
1
0
1
2
Plot the points from the table
that fit on the following grid.
a. Use the table and the graph
to determine the slope of this
line.
y
b. Use the table and the
graph to determine the yintercept of this line.
c. Circle the slope value in
your equation and put a box
around the y-intercept.
y = 2x – 3
Example 2: Consider the equation f ( x) 
Complete the table of values
for the function
1
f ( x)  x  1 .
2
x
4
2
0
2
4
1
x 1
2
Plot the points from the table
that fit on the following grid.
a. Use the table and the graph
to determine the slope of this
line.
b. Use the table and the
graph to determine the yintercept of this line.
y
c. Circle the slope value in
your equation and put a box
around the y-intercept.
f ( x) 
University of Texas at Austin
UT High School
1
1
x 1
2
Algebra I Unique##
Unit 02 – Lesson 01
Graphing Linear Functions
1
Example 3: Consider the equation f ( x)   x  4
3
Complete the table of values
for the function
1
f ( x)   x  4 .
3
x
6
3
0
3
6
Plot the points from the table
that fit on the following grid.
a. Use the table and the graph
to determine the slope of this
line.
b. Use the table and the
graph to determine the yintercept of this line.
y
c. Circle the slope value in
your equation and put a box
around the y-intercept.
1
f ( x)   x  4
3
Example 4: Consider the equation y = –x + 2
Complete the table of values
for the function y = –x + 2.
x
2
1
0
1
2
Plot the points from the table
that fit on the following grid.
a. Use the table and the graph
to determine the slope of this
line.
y
b. Use the table and the
graph to determine the yintercept of this line.
c. Circle the slope value in
your equation and put a box
around the y-intercept.
y = –x + 2
Summary: These functions were all written in slope-intercept form. And, in this form the slope is
the coefficient of x and the constant term is the y-intercept. We write this general idea as:
y  mx  b ,
where m represents the slope and b represents the y-intercept.
University of Texas at Austin
UT High School
2