Algebra 1: Common Core (15th Edition)

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

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 312: 24

Answer

y=-x

Work Step by Step

The point-slope form is y=mx+b.The formula for slope is m=$\frac{y2-y1}{x2-x1}$ Using the point from the graph; (-1,1)(1,-1) The slope is m=$\frac{1-(-1)}{-1-1}$=$\frac{2}{-2}$=-1 Using the point-slope formula and (1,-1) and m=-1: $-1=-1(1)+b$ $-1=-1+b$ $0=b$ Plug these values into the point-slope form so the equation is $y=-1x+0$ $y=-x$
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