## Algebra 2 Common Core

Published by Prentice Hall

# Chapter 2 - Functions, Equations, and Graphs - 2-3 Linear Functions and Slope-Intercept Form - Lesson Check - Page 78: 1

#### Answer

y=$\frac{1}{2}$x+1

#### Work Step by Step

The general equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In order to put the given equation into slope intercept form, it is necessary to get 'y' by itself. 1. x-2y+3=1 2. Subtract 3 from each side : x-2y=-2 3. Subtract x from each side : -2y=-x-2 4. To get y by itself, divide both sides by -2 : y=$\frac{1}{2}$x+1

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