Chapter 5 Lesson 5.3 Writing Linear Equations Given Two Points Worksheet Page 3
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Decide Which Form to Use
Student Help
3
EXAMPLE
M
E
ORE
XAMPLES
Write the equation of the line in slope-intercept form.
More examples
a.
b.
y
y
are available at
3
3
(0, 2)
(4, 2)
1
1
1
5
x
1
3
5
x
1
1
1
1
(4,
2)
(3,
1)
Solution
a.
Find the slope.
b.
Find the slope.
y
y
y
y
2
(
2)
2
(
1)
2
1
2
1
m
1
m
3
x
x
0
4
x
x
4
3
2
1
2
1
Since you know the y-intercept,
Since you do not know the
use slope-intercept form.
y-intercept, use point-slope form.
The y-intercept is b
2.
y
y
m(x
x
)
1
1
y
mx
b
y
( 1)
3(x
3)
y
( 1)x
2
y
1
3x
9
y
x
2
y
3x
10
Decide Which Form to Use
Write the equation of the line in slope-intercept form.
5.
6.
y
y
5
(1, 2)
(4, 5)
1
(0, 3)
1
3
5
x
1
1
1
(2,
3)
3
1
3
5
x
1
SUMMARY
SUMMARY
Writing Linear Equations Given Two Points
y
y
2
1
Find the slope m
.
x
x
2
1
Write the equation of the line.
• Use the slope-intercept form if you know the y-intercept.
y
mx
b
• Use the point-slope form if you do not know the y-intercept.
y
y
m(x
x
)
1
1
5.3 Writing Linear Equations Given Two Points
287
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