2.The graph shows the percentage of Americans
who moved in selected years.
(a)If the ordered pair represents a point
on the graph, what does xrepresent? What
does yrepresent?
(b)Estimate the percentage of Americans who
moved in 2008.
(c)Write an ordered pair that gives the
approximate percentage of Americans who
moved in 2008.
(d)What does the ordered pair
mean in the context of this graph?
Concept Check Fill in each blank with the correct response.
3.The point with coordinates is called the of a rectangular coordinate system.
4.For any value of x, the point lies on the -axis.
5.To find the x-intercept of a line, we let equal 0 and solve for. To find the
y-intercept, we let equal 0 and solve for.
6.The equation has a horizontal line as its graph.
7.To graph a straight line, we must find a minimum of points.
8.The point , is on the graph of.
Name the quadrant, if any, in which each point is located. See Objective 2.
1 42 2 x- 3 y= 0
1 x or y 2
= 4
1 x, 0 2
1 0, 0 2
1 1951, 21 2
1 x, y 2
1 x, y 2
144 CHAPTER 3 Graphs, Linear Equations, and Functions
1951 1971 1991 2008
Percentage Who Moved
Source: U.S. Census Bureau.
Less Mobile Americans
Year
10
15
20
25
MOVERS
- (a) (b)
(c) (d)
(e) (f )
10. (a) (b)
(c) (d)
(e) 1 0, - 82 (f ) 1 2.3, 0 2
1 - 9, 12 2 1 3, - 92
1 - 2, - 102 1 4, 8 2
1 - 3, 0 2 1 0, -0.5 2
1 - 3, 6 2 1 7, - 52
1 1, 6 2 1 - 4, - 22
11.Concept Check Use the given information to determine the quadrants in which the
point may lie.
(a) (b) (c) (d)
12.Concept Check What must be true about the value of at least one of the coordinates of
any point that lies along an axis?
Plot each point in a rectangular coordinate system. See Objective 2.
In Exercises 23–32, (a)complete the given table for each equation and then (b)graph the
equation. See Example 1 and FIGURE 4.
23.y=x- 4 24.y=x+ 3 25.x-y= 3 26.x-y= 5
1 - 2, - 42 1 - 2, 4 2 1 3, 0 2 1 - 2, 0 2 1 3, - 32
1 2, 3 2 1 - 1, 2 2 1 - 3, - 22 1 1, - 42 1 0, 5 2
x
y
70
x
y
xy 70 xy 60 60
1 x, y 2
xy
0
1
2
3
4
xy
0
1
2
3
4
xy
0
0
5
2
xy
0
0
1
3
