Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 471: 12

Answer

3x+2y = 4

Work Step by Step

The line contains(-2,5) and (2,-1) To find the equation of the line. To use the point slope form, we need to find the slope of the line using (-2,5) and (2,-1) m = $\frac{y2-y1}{x2-x1}$ = $\frac{-1-5}{2+2}$ =$\frac{-6}{4}$ =$\frac{-3}{2}$ then, y-y1 = m(x-x1) y-5 =$\frac{-3}{2}$ (x-(-2)) y-5 = $\frac{-3}{2}$ (x+2) 2(y-5) = -3(x+2) 2y - 10 = -3x - 6 3x+2y = 10-6 3x+2y = 4
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