Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Lesson Check: 2

Answer

y=-x+1

Work Step by Step

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept. Since m=$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$, and it's given that $x_{1}$=-3, $x_{2}$=2, $y_{1}$=4, and $y_{2}$=-1, we can find m by plugging in the givens into the slope equation. m=$\frac{-1-4}{2-(-3)}$=$\frac{-5}{5}$=-1. Now we know the y=(-1)x+b=-x+b, and we can solve for b by plugging in a point, in this case we'll plug in the point (-3,4). Therefore, 4=-(-3)+b=3+b, and solving for b, b=1. Therefore, y=-x+1
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