Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 5 - Linear Functions - 5-4 Point-Slope Form - Practice and Problem-Solving Exercises - Page 319: 20


y-4=2(x-2) y=2x

Work Step by Step

You have to put it into slope-intercept form. Use two points (-3,-6)(2,4) and use the slope formula (m=$\frac{y2-y1}{x2-x1}$): m=$\frac{4-(-6)}{2-(-3)}$=$\frac{10}{5}$=2. The slope is 2. Plug the slope and the two points into y-y1=m(m-x1): y-4=2(x-2) Put it into slope intercept formula too: y=mx+b 4=2(2)+b 4=4+b 0=b b-0 The slope is 2 and the y-intercept is 0 so the equation is y=2x.
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