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: 28

Answer

y=x+3

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 $x_{1}$=0, $x_{2}$=2, $y_{1}$=3, $y_{2}$=5, we can solve for m by plugging in the givens into the slope equation. Therefore, m=$\frac{5-3}{2-0}$=$\frac{2}{2}$=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 (0,3) 3=0+b, so 3=b. Therefore, y=x+3
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