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 4 - Writing Linear Functions - 4.1 - Writing Equations in Slope-Intercept Form - Exercises - Page 179: 20

Answer

$y=-2x+7$

Work Step by Step

$f(0)=7$ can be written as $(0,7)$ and $f(3)=1$ as $(3,1)$. Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{1-7}{3-0}=\frac{-6}{3}=-2$ Because the line crosses the y-axis at $(0,7)$, Y-intercept $b=7$. Equation of line in the slope-intercept form is $y=mx+b$. Substituting the values of $m$ and $b$, we get an equation of line as $y=-2x+7$
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