Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-3 Linear Functions and Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 78: 31

Answer

graph of $y=-4x+5$

Work Step by Step

Using $y=mx+b$ or the Slope-Intercept Form of linear equations, where $b$ is the $y$-intercept and $m$ is the slope, the given equation, $ y=-4x+5 ,$ has the following characteristics: \begin{align*} \text{$y$-intercept: }& 5 \\ \text{Slope: }& -4 \text{ or } \dfrac{-4}{1} .\end{align*} To graph the slope-intercept equation above, start at the $y$-intercept. This corresponds to the point $ (0,5) $. Using the notion of the slope as $\dfrac{rise}{run},$ then $rise= -4 $ and $run= 1 .$ From the $y$-intercept, go $\text{ down }$ by $rise= -4 $ units and then go to the right by $run= 1 $ unit. This results to the point $ (1,1) .$ Connecting this point and the $y$-intercept gives the graph of the given equation.
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