Answer
$m=\frac{1}{2}$
$b=-2$
Work Step by Step
Find the slope:
$$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-1}{-2-6}=\frac{-4}{-8}=\frac{1}{2}$$
The equation becomes:
$$y=\frac{1}{2}x+b$$
Using point $(6,1)$:
$$1=\frac{1}{2}\cdot6+b$$
$$1=3+b$$
$$b=-2$$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
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 - Cumulative Assessment - Page 231: 5
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