23.Concept Check What is the slope
of the slide? (Hint:The slide drops
8 ft vertically as it extends 12 ft hori-
zontally.)
24.Concept Check What is the slope (or
grade) of this ski slope? (Hint:The ski
slope drops 25 ft vertically for every
100 horizontal feet.)
208 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions
–8 ft
12 ft
100 ft
25.Concept Check A student was asked to find the slope of the line through the points
and. His answer, was incorrect. He showed his work as
WHAT WENT WRONG?Give the correct slope.
26.Concept Check A student was asked to find the slope of the line through the points
and Her answer, was incorrect. She showed her work as
WHAT WENT WRONG?Give the correct slope.
Find the slope of the line through each pair of points. See Examples 2–4.
- and 28. and 29. and
- and 31. and 32. and
- and 34. and
- and 36. and
- and 38. and
- and 40. and
Find the slope of each line. See Example 5.
53.Concept Check What is the slope of a line whose graph is parallel to the graph of
Perpendicular to the graph of
54.Concept Check What is the slope of a line whose graph is parallel to the graph of
Perpendicular to the graph of
55.Concept Check If two lines are both vertical or both horizontal, which of the following
are they?
A.Parallel B.Perpendicular C.Neither parallel nor perpendicular
56.Concept Check If a line is vertical, what is true of any line that is perpendicular to it?
3 x+y=7? 3 x+y=7?
y= 4 x= 6 x=- 2
- 3 x+ 2 y= 5 - 2 x+ 4 y= 5 y=- 5
2 y=x+ 4 3 x- 2 y= 3 6 x- 4 y= 4
y= 5 x+ 12 y= 2 x+ 3 4 y=x+ 1
a
1
3
, -
5
6
a- b
4
3
,
1
2
a b
1
5
, -
1
2
a- b
7
5
,
3
10
b
1 4.8, 2.5 2 1 3.6, 2.2 2 1 3.1, 2.6 2 1 1.6, 2.1 2
1 - 12, 3 2 1 - 12, - 72 1 - 8, 6 2 1 - 8, - 12
1 - 2, 4 2 1 - 3, 7 2 1 - 4, 5 2 1 - 5, 8 2
1 8, 0 2 1 0, - 52 1 4, 3 2 1 - 6, 3 2 1 6, 5 2 1 - 12, 5 2
1 1, - 22 1 - 3, - 72 1 4, - 12 1 - 2, - 82 1 0, 3 2 1 - 2, 0 2
6 - 1 - 22
- 1 - 4
=
8
- 5
=-
8
5
.
1 - 2, 4 2 1 6, - 12. -^85 ,
3 - 5
2 - 1 - 12
=
- 2
3
=-
2
3
.
1 2, 5 2 1 - 1, 3 2 -^23 ,
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