## Algebra 1

Published by Prentice Hall

# Chapter 1 - Foundations for Algebra - 1-9 Patterns, Equations, and Graphs - Practice and Problem-Solving Exercises - Page 66: 41

#### Answer

$y=-3.5-x$ #### Work Step by Step

Create a table that lists the values in the given set of ordered pairs. Order the table by the value of x. $\underline{\ \ x\ \ }\ \ \ \ \underline{\ \ y\ \ }$ $-3.5\ \ \ \ \ \ 0$ $-3\ \ \ \ -0.5$ $-1\ \ \ \ -2.5$ $\ \ \ 0\ \ \ \ -3.5$ $\ \ \ 1\ \ \ \ -4.5$ $\ \ \ 2\ \ \ \ -5.5$ When x is 0, y is -3.5. -3.5 will be a constant in our equation and is the y-intercept. Each time x increases by 1, y decreases by 1. Each time x decreases by 1, y increases by 1. This tells us that x will be multiplied by -1 in our equation. $y=-3.5+(-1)x=-3.5-x$ Plot the points indicated by each ordered pair on a graph and join them with a straight line.

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