Graphing Linear Equations And Functions Worksheet - Welcome To Algebra 1: Concepts And Skills
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4.7
4.7
Graphing Lines Using
Slope-Intercept Form
Goal
Graph a linear equation
How can you estimate production costs?
in slope-intercept form.
In Example 3 you will use the
Key Words
graph of a linear model to estimate
• slope
the production costs for a small
• y-intercept
hat-making business.
• slope-intercept form
• parallel lines
In Lesson 4.5 you learned to find the slope of a line given two points on the line.
There is also a method for finding the slope given an equation of a line.
SLOPE-INTERCEPT FORM OF THE EQUATION OF A LINE
SLOPE-INTERCEPT FORM OF THE EQUATION OF A LINE
The linear equation y
mx
b is written in slope-intercept form,
where m is the slope and b is the y-intercept.
slope
y-intercept
y
mx
b
If y
2x
3, then (0, 3) and (1, 5) are on the line
y
and the slope is 2. More generally, if y
mx
b,
(1, 5)
then (0, b) and (1, m
b) are on the line and the
(0, 3)
(m
b)
b
slope is
m.
y
2x
3
1
0
1
3
1
3
x
Find the Slope and y-Intercept
1
EXAMPLE
Find the slope and y-intercept of 2x
y
3.
Solution Rewrite the equation in slope-intercept form.
2x
y
3
Write original equation.
y
2x
3
Subtract 2x from each side.
y
2x
3
Divide each side by 1. m
2 and b
3.
The slope is 2. The y-intercept is 3.
ANSWER
4.7 Graphing Lines Using Slope-Intercept Form
243
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