The Algebra Teacher\'s Guide to Reteaching Essential Concepts and Skills

Name Date

WORKSHEET 4.11: USING SLOPE-INTERCEPT FORM TO

GRAPH THE EQUATION OF A LINE

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A linear equation is expressed in slope-intercept form when it is written asy=mx+b.

mrepresents the slope of the line andbrepresents they-intercept. Follow the steps below

to graph a line using slope-intercept form:

1. Identify the slope andy-intercept.


2. Graph they-intercept.


3. Mark the next point on the graph using the slope expressed as

rise

run

. If the numerator
is positive, move up. If it is negative, move down. If the denominator is positive, move
right. If it is negative, move left.

DIRECTIONS: Match each equation with the appropriate line on the diagram below. Write

the slope andy-intercept of each equation.

1. y= 3 x+ 4 2. y=−x− 1


2. y= 2 x+ 1 4.y= 1. 5 x+ 3

5.y= 2 x− 1 6.y=− 3 x+ 4

1

2

3

4

5

B

A

D

C F

E

− 1

− 2

− 3

− 4

− 5

− 4 − 2 2 4

CHALLENGE:Joe has been using slope-intercept form to graph lines. He

graphed a line using the equationy= 4 x+2. His friend Brian used the

equation− 4 x+y=2 to graph a line. When they compared their graphs,

the lines were the same. How could this be? Explain.

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2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.