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DATE
NAME
5-4
Student Edition
Pages 280–286
Study Guide
Graphing Linear Equations
An equation whose graph is a straight
line is called a linear equation.
Drawing the Graph of a Linear
Equation
1. Solve the equation for one variable.
2. Set up a table of values for the
variables.
3. Graph the ordered pairs and connect
them with a line.
Definition of Linear Equation
A linear equation is an equation that can be written
in the form Ax 1 By 5 C, where A, B, and C are any
numbers and A and B are not both 0.
Example: Draw the graph of y 2 3x 5 1.
y 2 3x 5 1
x
3x 1 1
y 5 3x 1 1
y
y
(x, y )
21
3(21) 1 1
22
(21, 22)
0
3(0) 1 1
1
(0, 1)
1
3(1) 1 1
4
(1, 4)
4
2
–4
–2 O
2
x
4
–2
–4
Determine whether each equation is a linear equation. If an
equation is linear, rewrite it in the form Ax 1 By 5 C.
x
1. 4x 2 2y 5 21
2. 3 5 5
Graph each equation.
4. 3x 1 2y 5 6
5. m 1 2n 5 4
4x 2 2y 5 21
3. y 5 x2 1 7
x 5 15
6. 3p 1 q 5 22
y
y
y
4
2
4
2
4
2
–4 –2O
–2
–4
2 4 x
–4 –2O
–2
–4
–4 –2O
–2
–4
2 4 x
1
8. 22x 1 y 5 22
y
y
y
2
1
2
1
8
4
1 2 x
© Glencoe/McGraw-Hill
–2 –1O
–1
–2
1 2 x
37
4 x
3
7. 3a 2 6b 5 23
–2 –1O
–1
–2
2
9. 4x 1 4y 5 6
–8 –4O
–4
–8
4 8 x
Algebra 1