Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 3 - Introduction to Graphing - 3.3 Graphing and Intercepts - 3.3 Exercise Set - Page 180: 92


$(0, 0)$ If a line has both x and y-intercepts, the only possible point for the line to cross both the x and y-axes at only one point is the through the origin.

Work Step by Step

If the x-intercept and the y-intercept of the graph of a linear equation are the same, then the point must be the origin $(0,0)$. There is no possible point for which the x and the y-intercepts are the same point other than the origin. A slanted line (non-vertical and non-horizontal) will always pass through one point on the x-axis and one point on the y-axis except when it crosses through the origin, where it will pass through that point only.
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