## Algebra 2 Common Core

Published by Prentice Hall

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

#### Answer

y=$\frac{4}{3}$x+$\frac{1}{3}$

#### Work Step by Step

To write the given equation in slope-intercept form, one must refer to the general form: y=mx+b; where m defines the slope, and b is the y-intercept. In order to convert to slope-intercept form, begin by isolating 'y'. 1. -4x+3y=1 : original equation 2. Add 4x to each side : 3y=4x+1 3. Isolate y by dividing each side by 3 : y=$\frac{4}{3}$x+$\frac{1}{3}$.

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