## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 312: 28

#### Answer

$y=x+3$

#### Work Step by Step

We first find the slope. The equation for slope is: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$. Thus, we obtain: $\frac{5-3}{2-0}=\frac{2}{2}=1$ We now plug this slope in for m, plug in an (x,y) point on the graph, and solve for b: $y=x+b \\\\ 3=0+b \\\\ b=3$ We now plug b in with m to get the final equation: $y=x+3$

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