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: 24

Answer

$y=3$

Work Step by Step

$f(0)=3$ can be written as $(0,3)$ and $f(-6)=3$ as $(-6,3)$. Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{3-3}{-6-0}=0$ Because the line crosses the y-axis at $(0,3)$, Y-intercept $b=3$. 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 $y=0x+3$ or $y=3$
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