Graphing Linear Equations In Standard Form Worksheets Page 3
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6Lesson
4.5
Lesson Tutorials
Key Vocabulary
standard form, p. 174
Standard Form of a Linear Equation
The standard form of a linear equation is
ax + by = c
Study Tip
where a and b are not both zero.
Any linear equation
can be written in
standard form.
Graphing a Linear Equation in Standard Form
1 1
EXAMPLE
Graph −2x + 3y = −6.
Step 1: Write the equation in slope-intercept form.
−2x + 3y = −6
Write the equation.
3y = 2x − 6
Add 2x to each side.
2
y =
x − 2
—
Divide each side by 3.
3
Step 2: Use the slope and the y-intercept to graph the equation.
2
y =
x + (−2)
—
3
y-intercept
slope
Check
y
2
2
Use the slope to plot
1
another point, (3, 0).
4
4
4
3
2
1
1
4
x
2
(0,
2)
3
The y-intercept is
3
2x
3y
6
2. So, plot (0, 2).
4
Draw a line
2x
3y
6
6
through the points.
Graph the linear equation. Use a graphing calculator to check
your graph.
Exercises 5–10
1
1. x + y = −2
−
x + 2y = 6
—
2.
2
2
3. −
x + y = 0
2x + y = 5
—
4.
3
174
Chapter 4
Graphing and Writing Linear Equations
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