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 79: 41


Refer to the image below for the graph.

Work Step by Step

First, we need to write this equation in slope-intercept form to make the slope and y-intercept clear. To isolate $y$ and its coefficient, we subtract $4x$ from both sides, giving $5y=-4x+20$. To completely isolate $y$, we divide both sides by 5, giving us $y=\frac{-4}{5}x+\frac{20}{5} \\y=-\frac{4}{5}x+4$. To graph the line, we graph two points using the equation and then connect the dots. One point we can use is the y-intercept, which is $(0,4)$. To find another point, we can set $x=5$ (any value for $x$ works) then solve for $y$: $y=-\frac{4}{5}x+4 \\y=-\frac{4}{5}(5)+4 \\y=0$ The point is $(5,0)$. Plot the two points then connect them using a line. (refer to the image above for the graph)
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