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 6 - Exponential Functions and Sequences - 6.4 - Exponential Growth and Decay - Exercises - Page 322: 79

Answer

The slope is $-\frac{1}{2}$, and the $y-$ intercept is $4$.

Work Step by Step

The given equation is $\Rightarrow 2y+x=8$ Subtract $x$ form each side. $\Rightarrow 2y+x-x=8-x$ Simplify. $\Rightarrow 2y=-x+8$ Divide each side by $2$. $\Rightarrow \frac{2y}{2}=\frac{-x+8}{2}$ Simplify. $\Rightarrow y=-\frac{1}{2}x+4$ The slope-intercept form is $y=mx+b$ Where, slope $=m$ and $y-$intercept is $=b$. Hence, the slope is $-\frac{1}{2}$, and the $y-$ intercept is $4$.
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