Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-1 Rate of Change and Slope - Practice and Problem-Solving Exercises - Page 297: 48


No, it is not true.

Work Step by Step

There are many lines with a slope of $1$ that do not pass through the origin. The slope of a line only describes its rate of change, not its position on the graph. If a graph has a slope of $1$, it means that its $y$ is increasing at the same rate as its $x$. The line could cross the $y$-axis anywhere and have this slope, not just at the origin.
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