College Algebra 9th txtbk

136 CHAPTER 2 GRAPHS
SOLUTION
In Figure 4(a), the run is 3, the rise is 6 and the slope is 3 2. In Figure 4(b), the run is 6,
4
the rise is 4 and the slope is 6 2 3.
6
MATCHED PROBLEM 2
For each line in Figure 5, find the run, the rise, and the slope. (All the horizontal and vertical
line segments have integer lengths.)
y
y
5
5
5
5
x
5
5
x
5
5
(a)
(b)
Z Figure 5
EXAMPLE 3 Finding Slopes
Sketch a line through each pair of points and find the slope of each line.
(A) (3, 4), (3, 2) (B) (2, 3), (1, 3)
(C) (4, 2), (3, 2) (D) (2, 4), (2, 3)
SOLUTIONS (A) y
(B)
y
5
5
5
(3, 2)
5
x
(2, 3)
5
5
x
(3, 4)
(1, 3)
5
5
m 2 (4)
m 3 3
1 (2) 6
3 2
(C)
y
(D)
y
5
5
(4, 2)
3 (3) 6 6 1 slope is not defined
(3, 2)
(2, 4)
x
5
5
5
m 2 2
3 (4) 0 7 0
5
5
m 3 4
2 2 7
0 ;
5
(2, 3)
x