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 - Monitoring Progress - Page 139: 9

Answer

The $x-$ intercept is $1$. The graph is shown below.

Work Step by Step

The given equation is $\Rightarrow y=4x-4$ The slope-intercept form is $\Rightarrow y=mx+b$ $y-$intercept is $b=-4$. Plot the $y-$ intercept $A=(0,-4)$. The slope is $m=4$ and Slope $m=\frac{rise}{run}=\frac{4}{1}$ The next point is $1$ unit right and $4$ unit up from the point $(0,-4)$. Plot the point $B=(1,0)$. Draw a line through the two points. From the graph the line crosses the $x-$ axis at $B=(1,0)$. Hence, the $x-$ intercept is $1$.
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