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: 13

Answer

$y=-3x+10$

Work Step by Step

Let $(x_{1},y_{1})=(3,1)$ and $(x_{2},y_{2})=(0,10)$ Slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{10-1}{0-3}=\frac{9}{-3}=-3$ Because the line crosses the y-axis at $(0,10)$, Y-intercept $b=10$. Slope-intercept form is $y=mx+b$. Substituting the values of $m$ and $b$, we get an equation of line as $y=-3x+10$
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