Chapter 2.2, Problem 2AYU

True or False The point $\left(-2,-6\right)$ is on the graph of the equation $x=2y-2$. (pp. 7-11)

To determine

True or False.

Answer to Problem 2AYU

Solution:

$\left(0, 2\right), \left(0, -2\right)\left(4, 0\right)\text{and} \left(-4, 0\right)$

Explanation of Solution

Given:

The point $\left(-2, -6\right)$ is on the graph of the equation $x = 2y – 2$.

$x=2\left(-6\right)-2=-12-2=-14$

The point $\left(-2, -6\right)$ is not on the graph of the equation $x = 2y – 2n$. Therefore the statement is false.