Find Three Ordered Pair Solutions y=|x|+2

$y = | x | + 2$

Step 1

Choose any value for $x$ that is in the domain to plug into the equation.

Step 2

Choose $0$ to substitute in for $x$ to find the ordered pair.

Simplify $| 0 | + 2$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $0$ is $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 2)$

Step 3

Choose $1$ to substitute in for $x$ to find the ordered pair.

Simplify $| 1 | + 2$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$y = 1 + 2$

Add $1$ and $2$ .

$y = 3$

Use the $x$ and $y$ values to form the ordered pair.

$(1, 3)$

Step 4

Choose $2$ to substitute in for $x$ to find the ordered pair.

Simplify $| 2 | + 2$ .

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$y = 2 + 2$

Add $2$ and $2$ .

$y = 4$

Use the $x$ and $y$ values to form the ordered pair.

$(2, 4)$

Step 5

These are three possible solutions to the equation.

$(0, 2), (1, 3), (2, 4)$

Step 6