Algebra 1

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

Chapter 4 - An Introduction to Functions - 4-5 Writing a Function Rule - Practice and Problem-Solving Exercises: 31

Answer

Table X | Y 4 | -1 3 | 0 2 | 1 1 | 2 0 | 3 -1 | 4 -2 | 5 -3 | 6 -4 | 7 Function rule: y=-1x+3
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Work Step by Step

The table is formed from the points given and the graph is also formed from that. The function rule can be found by finding the slope and y-intercept Slope: $\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$ $\frac{(6-7)}{(-3-(-4))}$ $\frac{(-1)}{(-3+4)}$ $\frac{-1}{1}$ Slope=-1 Y-intercept is found it the ordered pair (0,3) so we find the equation y=-1x+3
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