Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 10 - Section 10.5 - Equations of Lines - Exercises - Page 471: 15


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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