Slope - Intercept And Point-Slope Forms Of The Line Worksheet With Answers - Hfcc Math Lab Page 7
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2
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4
5
6
7
80 ( 1)
1
1
5.
y
x
1 since the slope m
.
4
4 0
4
6.
y
9
since
y
y
9
.
1
7.
.
y
2 3(
x
5) or
y
3
x
17 (in slope-intercept form)
8.
y
1
1(
x
3)
or
y
-
x
2
.
1
1
9.
y
0
(
x
8)
or
y
x
2 we used (x , ) (8, 0)
y
.
1
1
4
4
10.
x
15
since =
x
x
15
.
1
2
2
1 5
6
2
11.
y
5
(
x
3) or
y
x+3 since m
.
3
3
6 ( 3)
9
3
12.
.
y
3
2(
x
4)
or
y
2
x
5
0 0
0
13.
y
0
since the slope m
0
, and passes through the point (-5, 0).
6 ( 5) 11
14. First, we find the slope m:
12 0 12
m
=
= -6 where ( , ) (5, 0) and ( ,
x y
x y
) (3, 12)
1
1
2
2
3 5
-2
y y
-
m x x
(
)
1
1
y
0
6(
x
5)
y
6
x
30
1
1
1
15.
y
1
(
x
9)
or
y
x
4
( m =
)
3
3
3
N.B. If two lines have the same slope, you can conclude that the two lines are
parallel and vice versa.
16. Since the line is parallel to the y-axis, then it is a vertical line.
The equation is x = -2.
-3
3
17.
m
4, b =
since
2
y
8
x
3 and by solving for y, we obtain
y
4
x
.
2
2
18. Note here that two lines are perpendicular if the product of their slopes is -1.
Therefore if the slope of the given line is ½ then the slope of the line in question must
1
be -2 since
2
1
2
Revised 11/09
7
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