## Algebra 1

Published by Prentice Hall

# Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 311: 54

#### Answer

Slope: $\frac{3}{2}$ $y$-intercept: $3$

#### Work Step by Step

We first must put the equation $2y-6=3x$ into slope-intercept form. To do this, first we add $6$ to both sides of the equation: $2y=3x+6$ Then we divide both sides of the equation by $2$: $y=\frac{3}{2}x+3$ The slope-intercept form of a linear equation of a non vertical line is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept. We use this to pick out the slope and the $y$-intercept from the equation $y=\frac{3}{2}x+3$. Since $\frac{3}{2}$ takes the place of $m$ in the equation, it is the slope. Since $3$ takes the place of $b$ in the equation, it is the $y$-intercept.

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