Algebra 1

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

Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises - Page 297: 42



Work Step by Step

It's given that slope=-2=m, and $x_{1}$=2, $x_{2}$=4, $y_{2}$=8, and we are trying to find $y_{1}$. Since m=$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$, if we multiply by ($x_{2}$-$x_{1})$ on both sides, we get m($x_{2}$-$x_{1}$)=$y_{2}$-$y_{1}$. If we add $y_{1}$ to both sides and subtract m($x_{2}$-$x_{1})$ from both sides we get $y_{1}$=$y_{2}$-m($x_{2}$-$x_{1})$. Then we just plug in the givens, so $y_{1}$=(8)-(-2)(4-2)=8-(-4)=12
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