The Standard And Point Slope Forms
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Reteaching
5.5
The Standard and Point-Slope Forms
Skill A
Writing an equation of a line in standard form
Recall The standard form for the equation of a line is
Ax
By
C
, where A, B, and C are
integers, A and B are not both zero, and A is not negative.
Example
3
Write the equation
x
y
3
in standard form. Then find the intercepts and
4
use them to graph the equation.
Solution
3
x
y
3
Given
4
4x
3y
12
Multiply each side by 4.
4x
3y
12
Subtract 3y from each side.
y
To find the y-intercept, let
x
0
.
4x
3y
12
0
3y
12
y
4
To find the x-intercept, let
y
0
.
(3, 0)
4x
3y
12
x
4x
0
12
O
x
3
Thus, the intercepts are (0,
4
) and (3, 0).
(0, – 4)
Use your intercepts to graph the line.
Write each equation in standard form.
1.
5x
10y
15
_ __________________________
2.
3y
2x
_________________________
2
1
3.
y
x
1
_ __________________________
4.
3x
5
y
1
_________________________
5
2
Find the x- and y-intercepts for the graph of each equation. Then
graph both equations on the grid provided.
y
5.
2x
y
2
6. 3x
2y
6
x
O
59
Algebra 1
Reteaching Masters
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