Writing Equations In Slope-Intercept Form Worksheet - Chapter 4 Page 3
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2
3
4
5
6Lesson
4.6
Lesson Tutorials
1 1
Writing Equations in Slope-Intercept Form
EXAMPLE
Write an equation of the line in slope-intercept form.
a.
Find the slope and the y-intercept.
y
7
− y
y
m =
2
1
—
2
− x
(0, 5)
x
2
1
4
2 − 5
3
=
—
3
2 − 0
(2, 2)
2
− 3
3
1
=
, or −
—
—
2
2
2
1
1
2
3
x
Study Tip
Because the line crosses the y-axis at (0, 5), the y-intercept is 5.
After writing an
equation, check that
slope
y-intercept
the given points are
solutions of the
equation.
3
3
So, the equation is y =
−
x + 5.
—
2
b.
Find the slope and the y-intercept.
y
3
(3, 2)
− y
y
2
m =
2
1
—
− x
1
x
2
1
− 3 − 2
2
1
1
2
x
5
=
1
—
0 − 3
2
− 5
5
(0,
3)
=
—
—
, or
3
− 3
3
Because the line crosses the y-axis at (0, −3), the y-intercept is −3.
slope
y-intercept
5
5
So, the equation is y =
x + (−3), or y =
x − 3.
—
—
3
3
Write an equation of the line in slope-intercept form.
Exercises 5–10
1.
2.
y
y
6
1
5
3
2
1
1
2
3
4
x
4
(1, 4)
(0,
1)
3
3
(0, 2)
4
5
3
2
1
2
3
4 x
(3,
5)
1
6
180
Chapter 4
Graphing and Writing Linear Equations
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