Find Three Ordered Pair Solutions y=|x-9|

$y = | x - 9 |$

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 $| (0) - 9 |$ .

Subtract $9$ from $0$ .

$y = | - 9 |$

The absolute value is the distance between a number and zero. The distance between $- 9$ and $0$ is $9$ .

$y = 9$

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

$(0, 9)$

Step 3

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

Simplify $| (1) - 9 |$ .

Subtract $9$ from $1$ .

$y = | - 8 |$

The absolute value is the distance between a number and zero. The distance between $- 8$ and $0$ is $8$ .

$y = 8$

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

$(1, 8)$

Step 4

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

Simplify $| (2) - 9 |$ .

Subtract $9$ from $2$ .

$y = | - 7 |$

The absolute value is the distance between a number and zero. The distance between $- 7$ and $0$ is $7$ .

$y = 7$

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

$(2, 7)$

Step 5

These are three possible solutions to the equation.

$(0, 9), (1, 8), (2, 7)$

Step 6