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 - Chapter Review - Page 166: 21

Answer

The $x-$ intercept is $-2$. The graph is shown below.

Work Step by Step

The given equation is $\Rightarrow y=2x+4$ The slope-intercept form is $\Rightarrow y=mx+b$ $y-$ intercept is $b=4$. Plot the $y-$ intercept $A=(0,4)$. The slope is $m=2$. Slope $m=\frac{rise}{run}=\frac{2}{1}$ The next point is $1$ unit right and $2$ unit up from the point $(0,4)$. Plot the point $B=(1,6)$. Draw a line through the two points. From the graph the line crosses the $x-$ axis at $C=(-2,0)$. Hence, the $x-$ intercept is $-2$.
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