DATE
NAME
6-5
Student Edition
Pages 356–361
Study Guide
Graphing Linear Equations
There are three methods you can use for graphing equations.
You can find two ordered pairs that satisfy the equation, the
x- and y-intercepts, or the slope and y-intercept.
Example 1: Graph 5x 1 4y 5 20 by using
the x- and y-intercepts.
y
7
6
The equation is in standard
form Ax 1 By 5 C.
4
1
5x
or 5.
(0, 5)
3– x 2
2
2
3
2
1
3
–3
20
Thus, the graph contains the
points (4, 0) and (0, 5).
5
4y
or 4.
1
The y-intercept is
5
y5
The x-intercept is
C
,
A
C
,
B
(4, 0)
–2
3
Example 2: Graph y 5 22x 2 1 by using the slope
and y-intercept.
–1
–2
O 1
2
(0, –1)
3
4
5
x
3
The y-intercept is 21, the slope 22.
Graph each equation by using the x- and y-intercepts.
1. 23x 1 2y 5 6
2. 3y 1 x 5 3
y
y
4
3
2
1
4
3
2
1
–4 –3 –2 –1O
–1
–2
–3
–4
1
2 3
4 x
–4 –3 –2 –1O
–1
–2
–3
–4
1
2 3
4 x
1
2 3
4 x
Graph each equation by using the slope and y-intercept.
1
1
3. y 5 3 x 1 2
3
4. y 5 2 x 1 4
y
y
4
3
2
1
4
3
2
1
–4 –3 –2 –1O
–1
–2
–3
–4
1
© Glencoe/McGraw-Hill
2 3
4 x
–4 –3 –2 –1O
–1
–2
–3
–4
45
Algebra 1