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 3 - Graphing Linear Functions - 3.5 - Graphing Linear Equations in Slope-Intercept Form - Exercises - Page 142: 31

Answer

The $x-$ intercept is $0$. The graph is shown below.

Work Step by Step

The given equation is $\Rightarrow -y+5x=0$ Add $y$ to each side $\Rightarrow -y+5x+y=0+y$ Simplify. $\Rightarrow 5x=y$ $\Rightarrow y=5x$ $\Rightarrow y=5x+0$ The slope-intercept form is $\Rightarrow y=mx+b$ $y-$intercept is $b=0$. Plot the $y-$ intercept $A=(0,0)$. The slope is $m=5$ and Slope $m=\frac{rise}{run}=\frac{5}{1}$ The next point is $1$ unit right and $5$ unit up from the point $(0,0)$. Plot the point $B=(1,5)$. Draw a line through the two points. From the graph the line crosses the $x-$ axis at $A=(0,0)$. Hence, the $x-$ intercept is $0$.
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