Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-5 Standard Form - Practice and Problem-Solving Exercises - Page 327: 42


The slope $m$ is $-\frac{A}{B}$, and the y-intercept is $\frac{C}{B}$.

Work Step by Step

The standard form of the equation for a line is not the best way to visualize the slope and y-intercept of the graph. We want to change this equation to the slope-intercept form, which is given by the formula: $y = mx + b$, where $m$ is the slope of the graph and $b$ is the y-intercept. First, we want to isolate the $y$ term on one side of the equation by subtracting $Ax$ from both sides of the equation: $By = -Ax + C$ We can isolate $y$ by dividing both sides of the equation by $B$: $y = -\frac{A}{B}x + \frac{C}{B}$ The slope $m$ is $-\frac{A}{B}$, and the y-intercept is $\frac{C}{B}$.
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