College Algebra 7th Edition

Published by Brooks Cole

Chapter 1, Equations and Graphs - Chapter 1 Review - Exercises - Page 169: 18

Answer

Refer to the image below for the graph.

Work Step by Step

Write the equation in $y=mx+b$ form by solving for $y$ to obtain: $\dfrac{x}{4} + \dfrac{y}{5}=0 \\20\left(\dfrac{x}{4} + \dfrac{y}{5}\right) = 20(0) \\5x+4y=0 \\4y = 0-5x \\4y=-5x$ Divide $4$ to both sides of the equation to obtain: $\dfrac{4y}{4}=\dfrac{-5x}{4} \\y=-\dfrac{5}{4}x$ To graph the given equation, perform the following steps: (1) Create a table of values by assigning values to $x$ then solving for the corresponding value of $y$ for each one. (refer to the attached image below) (2) Plot each point from the table of values, then connect the points using a line to complete the graph. (refer to the attached image in the answer part above)

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