Solutions to Quiz 11A
www.math.ufl.edu/˜harringt
October 27, 2007
1. Let
x
= 5 be the line
L
.
(a) Find the slope of a line that is parallel to
L
.
m
= undefined
(b) Find the slope of a line that is perpendicular to
L
.
m
= 0
Note: To see why, please graph
x
= 5.
2. Find the equation for the line containg the xintercept 2 and the y
intercept 3. Write your answer in slopeintercept form.
METHOD 1:
With xintercept 2 and yintercept 3, we know that the line contains
the points (0
,
3) and (2
,
0). Now we can find the slope.
m
=
Δ
y
Δ
x
=
3

2
=

3
2
Hence,
y
=

3
2
x
+
b
. Since we already know that the yintercept is 3,
then,
b
= 3. So,
y
=

3
2
x
+ 3.
METHOD 2:
The studious student could recall from the homework on page 193 num
ber 82 that
x
a
+
y
b
= 1
1
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where
a
is the nonzero xintercept and
b
is the nonzero yintercept.
Thus, we have the following:
x
2
+
y
3
=
1
y
3
=

x
2
+ 1
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 Fall '08
 WILLIAMSON
 Calculus, Algebra, Slope, YIntercept, Elementary mathematics, intercept

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