Chapter 9.2, Problem 45STP

To determine

To choose : which of the following set of ordered pairs represents a linear function.

Answer to Problem 45STP

The correct answer is B $\{\left(4-4\right),\left(3,-3\right),\left(2,-2\right),\left(1,-1\right)\}$

Explanation of Solution

Given information :

The set of ordered pairs are

A $\{\left(2,2\right),\left(1,-1\right),\left(0,0\right),\left(-1,-1\right)\}$

B $\{\left(4-4\right),\left(3,-3\right),\left(2,-2\right),\left(1,-1\right)\}$

C $\{\left(-4,-4\right),\left(0,0\right),\left(4,-4\right),\left(-8,-8\right)\}$

D $\{\left(-3,-5\right),\left(-1,0\right),\left(0,1\right),\left(3,-5\right)\}$

A linear function has $x$ -values and $y$ -values that change by the same amount. In the set $\{\left(4-4\right),\left(3,-3\right),\left(2,-2\right),\left(1,-1\right)\}$

  $x$ -values decreased by 1 as $y$ -values increased by 1.

Hence, correct answer is B $\{\left(4-4\right),\left(3,-3\right),\left(2,-2\right),\left(1,-1\right)\}$