Section 3.4 The PointSlope Form of a Line
305
Version: Fall 2007
3.4
Exercises
In
Exercises 1

4
, perform each of the
following tasks.
i. Draw the line on a sheet of graph
paper with the given slope
m
that
passes through the given point (
x
0
,y
0
).
ii. Estimate the
y
intercept of the line.
iii. Use the pointslope form to determine
the equation of the line. Place your
answer in slopeintercept form by solv
ing for
y
. Compare the exact value of
the
y
intercept with the approxima
tion found in part (ii).
1.
m
= 2
/
3 and (
x
0
,y
0
) = (
−
1
,
−
1)
2.
m
=
−
2
/
3 and (
x
0
,y
0
) = (1
,
−
1)
3.
m
=
−
3
/
4 and (
x
0
,y
0
) = (
−
2
,
3)
4.
m
= 2
/
5 and (
x
0
,y
0
) = (
−
3
,
−
2)
5.
Find the equation of the line in slope
intercept form that passes through the
point (1
,
3) and has a slope of 1.
6.
Find the equation of the line in slope
intercept form that passes through the
point (0
,
2) and has a slope of 1
/
4.
7.
Find the equation of the line in slope
intercept form that passes through the
point (1
,
9) and has a slope of
−
2
/
3.
8.
Find the equation of the line in slope
intercept form that passes through the
point (1
,
9) and has a slope of
−
3
/
4.
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1
In
Exercises 9

12
, perform each of the
following tasks.
i. Set up a coordinate system on a sheet
of graph paper and draw the line through
the two given points.
ii. Use the pointslope form to determine
the equation of the line.
iii. Place the equation of the line in stan
dard form
Ax
+
By
=
C
, where
A
,
B
,
and
C
are integers and
A >
0. Label
the line in your plot with this result.
9.
(
−
2
,
−
1) and (3
,
2)
10.
(
−
1
,
4) and (2
,
−
3)
11.
(
−
2
,
3) and (4
,
−
3)
12.
(
−
4
,
4) and (2
,
−
4)
13.
Find the equation of the line in slope
intercept form that passes through the
points (
−
5
,
5) and (6
,
8).
14.
Find the equation of the line in slope
intercept form that passes through the
points (6
,
−
6) and (9
,
−
7).
15.
Find the equation of the line in slope
intercept form that passes through the
points (
−
4
,
6) and (2
,
−
4).
16.
Find the equation of the line in slope
intercept form that passes through the
points (
−
1
,
5) and (4
,
4).