Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Entry-Level Assessment - Page xxxvii: 11



Work Step by Step

First, you want to find the slope of the lines. Because they are parallel, both lines will have the same slope. So, you're going to plug points A and B into the "point-slope formula": $(y_2 - y_1) = m(x_2 - x_1)$. So, with the coordinates of A and B, it would look like: $(4-3) = m(1-(-2)) \\1=m(1+2) \\1=m(3) \\\frac{1}{3}=m$. The slope of the lines is $\frac{1}{3}$. With this, we would need to find a point that would make our second line have the same slope. One f the points is $(1, 2)$. Checking for the $(4,3)$ as the second point gives: $(3-2) = m(4-1) \\1 = m(3) \\\frac{1}{3}=m$ The point $(4, 3)$ gives the same slope we got with our first line. Thus, point D must have the coordinates $(4, 3)$.
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