### Home > CC3 > Chapter 9 > Lesson 9.2.1 > Problem 9-58

Copy and complete the following table.

*9-58 HW eTool*(Desmos). Homework Help ✎*x*5

4

–2

3

*y*–17

–5

–2

4

–11

What is the rule?

What is the slope?

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:

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):

So far, the rule is *y* = −3*x*. 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* = −3*x* − 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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