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 - Practice and Problem-Solving Exercises: 29

Answer

y=-x+2

Work Step by Step

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