Question

One of the tables shows a proportional relationship.

Use the points from this table to graph the line representing the proportional
relationship.
Line
10-
9
8-
7
5
4
3
2
-2-
3 7 4
-3-
Undo
1 2
3
4
Redo
$
6
x Reset
7 8 9 10
X
y
x
y
X
y
X
y
2
1
2
1
0
2
1
3
2
4
3
2
2
2
4
5
6
3
4
6
4
5
3
7
27
6
4
8
4
5
8
9
6

Answer 1

See attached

Explanation:

The graph of a proportional linear relationship is a line that passes through the origin (0, 0).

From inspection of the given tables, the linear equations for each table of points is:

• Table 1: y = x + 1
• Table 2: y = x/2
• Table 3: y = x + 2
• Table 4: y = 2x + 1

The only equation for which y = 0 when x = 0 is y = x/2 → Table 2.

Given points from Table 2:

• (2, 1)
• (4, 2)
• (6, 3)
• (8, 4)

To graph the line, plot the given points and draw a line through them (see attached).