Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.5 - Equations of Lines - Exercises: 15

Answer

bx+ay = ab is the required equation

Work Step by Step

The line contains(0,b) and (a,0) To find the equation of the line. To use the point slope form, we need to find the slope of the line using (-2,0) and (4,3) m = $\frac{y2-y1}{x2-x1}$ = $\frac{0-b}{a-0}$ =$\frac{-b}{a}$ then, y-y1 = m(x-x1) y-b =$\frac{-b}{a}$ (x-0) y - b= $\frac{-b}{a}$ x ay - ab = -bx bx+ay = ab
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