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: 9

Answer

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

Work Step by Step

The relationship is a linear function because the graph increases by 5 units every time for every x-value Equation: Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$ $\frac{(2-(-3))}{(1-0)}$ $\frac{(2+3)}{1}$ $\frac{5}{1}$ slope=5 y-int: y=5x+b (substitute any x & y value from the table) -3=5(0)+b -3=0+b -3=b Equation: y=5x-3
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