Algebra 1

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

Chapter 5 - Linear Functions - Concept Byte - Investigating y=mx+b: 7

Answer

Changing the value of b will make the graph go up or down.

Work Step by Step

This is the case because b is the y-intercept of the graph. We prove this by thinking that at the y-intercept, the x-coordinate is 0, so when we plug in zero into the equation: y=mx+b, we get y=b. Therefore, b is the y-intercept. Now changing b (aka. the y-intercept) will make the graph move vertically because that will change when the graph hits the y axis.
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