### Home > MC2 > Chapter 9 > Lesson 9.3.1 > Problem9-82

9-82.

Since no x-value of 0 is given, we will have to solve for the rule by finding the slope and then any possible constants.

From Chapter 7, we know that slope is the following:

$\frac{\text{change in{\it y}\;values}}{\text{change in{\it x} values}}$

Choosing any two given set of x- and y- values, we can find the slope of the equation. For example, choosing (5, −17) and (3, −11):

$\frac{\text{change in{\it y} values}}{\text{change in{\it x} values}} = \frac{-6}{2} = -3$

So far, the rule is y = −3x. Test this rule to see if it is complete by substituting in a value of x and checking if the correct y-value is given. What do you notice? Is there another constant value that is part of the rule?

y = −3x − 2
Use this rule to fill in the table.

What is the slope you solved for the rule in part (a)?

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Click the link at right for the full version of the eTool: MC2 9-82 HW eTool