CPM Homework Help : CC3 Problem 6-96

Use the graph below to add points to the table below.

$x$

x column 1 is blank.

x column 2 is blank.

x column 3 is blank.

x column 4 is blank.

x column 5 is blank.

x column 6 is blank.

x column 7 is blank.

$y$

y column 1 is blank.

y column 2 is blank.

y column 3 is blank.

y column 4 is blank.

y column 5 is blank.

y column 6 is blank.

y column 7 is blank.

A decreasing line, going through the following points: (negative 2, comma 10), (0, comma 6), (2, comma 2), (4, comma negative 2) and (6, comma negative 6).

Step 1:

For each point, find its $x$ -coordinate and its $y$ -coordinate and record the two numbers next to each other in the table.

Answer:

$x$	x column 1 $-3$	x column 2 $-2$	x column 3 $0$	x column 4 $2$	x column 5 $4$	x column 6 $6$
$y$	y column 1 $12$	y column 2 $10$	y column 3 $6$	y column 4 $2$	y column 5 $-2$	y column 6 $-6$

Write the rule in words.
Hint (a):
Notice that for every $1$ the $x$ -value increases, the $y$ -value decreases by $2$ . Also take into account the value for the
$y$ -intercept.
Answer (a):
Multiply $y$ by $−2$ and then add $6$ .
Explain how to use the table to predict the value of $y$ when $x$ is $−8$ .
Hint (b):
Extend the pattern in the table. Answers may vary.