Assess Yourself

Are you ready to take this lesson's quiz? The questions below will help you find out. Make sure you understand why each correct answer is correct — if you don't, review that part of the lesson.

\( x \)	\( y \)
0	0
20	10
40	20
60	30

\( x \)	\( y \)
0	0
20	10
40	10
60	10

\( x \)	\( y \)
0	0
10	20
20	40
30	60

\( x \)	\( y \)
0	0
1	20
2	40
3	60

The first column of the table should contain \( x \) values, and the second column of the table should have the \( y \) values. The ordered pairs on the graph are \( (0,0) \), \( (20,10) \), \( (40,20) \), and \( (60,30) \), which corresponds to this table of values.

The first column of the table should contain \( x \) values, and the second column of the table should have the \( y \) values.

Start the process by creating a table of values.

The graph contains clues that tell you which form of a linear equation to use.

You can use the table of values to look for a pattern and write the linear equation.

The form you need to use will depend on the relationship between the variables.

The line may or may not contain this ordered pair.

Generally, the independent variable, \( x \), is in the first column.

When the graph of the line passes through the ordered pair \( (0,0) \), then the values in the table are equivalent ratios.

You are told the line passes through the origin, so the table of values could contain the ordered pair \( (0,0) \).

Every issue of Willem's favorite newspaper has 2 pages of ads. The remaining pages contain news articles. Let \( p \) represent the total number of pages in the newspaper, and let \( n \) represent the number of news article pages.

Use the graph of this relationship, shown below, to state which form the linear equation that represents this line will take.

A linear graph increases from left to right through the ordered pair (8, 6). The vertical axis is labeled n and the horizontal axis is labeled p.

This is not a form that you have learned.

Since the graph of the line does not pass through the origin, the linear equation that represents it has the form \( y=x+b \).

The graph of an equation in this form will touch or pass through the origin.

This equation does not contain an independent variable.

Aimee used the graph of a linear equation to create the table of values shown.

Which linear equation represents the values in this table?

\( x \)	\( y \)
0	0
1	−9
2	−18
3	−27

Use the ordered pairs in the table to determine the pattern. Notice that the table of values contains the ordered pair \( (0,0) \), so the equation will have the form \( y=kx \).

\( x \)	Operation	\( y \)
0	\( \times (-9) = \)	0
1	\( \times (-9) = \)	−9
2	\( \times (-9) = \)	−18
3	\( \times (-9) = \)	−27

Use the ordered pairs in the table to determine the pattern. Notice that the table of values contains the ordered pair \( (0,0) \), so the equation will have the form \( y=kx \).

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