Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 5 - Solving Systems of Linear Equations - Maintaining Mathematical Proficiency - Page 233: 3

Answer

The graph is shown below.

Work Step by Step

The given equation is $\Rightarrow 4x+5y=20$ Subtract $4x$ from each side. $\Rightarrow 4x+5y-4x=20-4x$ Simplify. $\Rightarrow 5y=-4x+20$ Divide each side by $5$. $\Rightarrow \frac{5y}{5}=\frac{-4x+20}{5}$ $\Rightarrow y=-\frac{4}{5}x+4$ The slope-intercept form is $\Rightarrow y=mx+b$ $y-$ intercept is $b=4$. Plot the $y-$ intercept $A=(0,4)$. The slope is $m=-\frac{4}{5}$. Slope $m=\frac{rise}{run}=\frac{-4}{5}$ The next point is $5$ unit right and $4$ unit down from the point $(0,4)$. Plot the point $B=(5,0)$. Draw a line through the two points.
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