Algebra 1

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

Chapter 4 - An Introduction to Functions - 4-2 Patterns and Linear Functions - Practice and Problem-Solving Exercises - Page 243: 8

Answer

The relation is a function. For every increase in the x-value, the y-value increases by 3 units. Equation: y=3x+5
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Work Step by Step

The relationship is a function because it passes the vertical line test which states that each x-value has one y-value Equation: Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$ $\frac{(8-5)}{(1-0)}$ $\frac{(3)}{(1)}$ slope=3 y-int: y=3x+b (substitute any x & y value from the table) 5=3(0)+b 5=0+b 5=b Equation: y=3x+5
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