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: 10

Answer

$y=-\frac{1}{4}x+3$

Work Step by Step

Let $(x_{1},y_{1})=(0,3)$ and $(x_{2},y_{2})=(4,2)$ Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{2-3}{4-0}=\frac{-1}{4}$ Because the line crosses the y-axis at $(0,3)$, Y-intercept $b=3$ Slope-intercept form is $y=mx+b$ Substituting the values of $m$ and $b$, we get an equation of line as $y=-\frac{1}{4}x+3$
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