# Quick Graphs Using Slope-Intercept Form Worksheet With Answer Key

4.6
Quick Graphs Using
Slope-Intercept Form
Goals
Graph a linear equation in slope-intercept form.
Graph and interpret equations in slope-intercept form that
model real-life situations.
VOCABULARY
A linear equation written in the form
Slope-intercept form
y
mx
b is in slope-intercept form, where m is the slope
of the line and b is the y-intercept.
Two different lines in the same plane are parallel if
Parallel
they do not intersect.
SLOPE-INTERCEPT FORM OF THE EQUATION OF A LINE
The linear equation y
b is written in
slope-intercept
mx
form. The slope of the line is
m
. The y-intercept of the line
b
is
.
2
Example: The linear equation y
2x
3 has a slope of
and a y-intercept of
3
.
Writing Equations in Slope-Intercept Form
Example 1
Equation
Slope-Intercept
Slope
y-Intercept
Form
( 2)x
5
2
5
a. y
5
2x
y
m
b
1
2
1
2
x
2
b. y
x
y
m
b
3
3
3
3
3
0x
13
0
13
c. y
13
y
m
b
0.5x
0
0.5
0
d. 2.2x
4.4y
0
y
m
b
Lesson 4.6 • Algebra 1 Notetaking Guide
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