Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - Common Core Cumulative Standards Review - Selected Response - Page 360: 13

Answer

The x-intercept is $9$

Work Step by Step

We must find the equation of the line first. We can use this template to find the equation of the line, where the slope is $m$ and the y-intercept is $b$ $y = mx + b$ To find the slope, we need to use the formula $m = \frac{y_2-y_1}{x_2-x_1}$ Plug in the points $(-2,11)$ and $(6,3)$ $m = \frac{3-11}{6-(-2)}$ $m = -8/8$ $ m = -1$ Now, fill in the newly acquired information into the template equation $y = -x +b$ Now, plug in $(6,3)$ (or any other point) to find $b$ $3 =-6 + b$ $9 = b$ $b = 9$ Fill in the newly acquired information. $y = -x + 9$ We have the equation. To find the x-intercept, plug in $y = 0$ $0 = -x + 9$ $x = 9$ The x-intercept is $9$
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