Find Three Ordered Pair Solutions y+8=4(x-5)

$y + 8 = 4 (x - 5)$

Step 1

Solve the equation for $y$ .

Simplify $4 (x - 5)$ .

Rewrite.

$y + 8 = 0 + 0 + 4 (x - 5)$

Simplify by adding zeros.

$y + 8 = 4 (x - 5)$

Apply the distributive property.

$y + 8 = 4 x + 4 \cdot - 5$

Multiply $4$ by $- 5$ .

$y + 8 = 4 x - 20$

Move all terms not containing $y$ to the right side of the equation.

Subtract $8$ from both sides of the equation.

$y = 4 x - 20 - 8$

Subtract $8$ from $- 20$ .

$y = 4 x - 28$

Step 2

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

Step 3

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

Remove parentheses.

$y = 4 (0) - 28$

Simplify $4 (0) - 28$ .

Multiply $4$ by $0$ .

$y = 0 - 28$

Subtract $28$ from $0$ .

$y = - 28$

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

$(0, - 28)$

Step 4

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

Remove parentheses.

$y = 4 (1) - 28$

Simplify $4 (1) - 28$ .

Multiply $4$ by $1$ .

$y = 4 - 28$

Subtract $28$ from $4$ .

$y = - 24$

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

$(1, - 24)$

Step 5

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

Remove parentheses.

$y = 4 (2) - 28$

Simplify $4 (2) - 28$ .

Multiply $4$ by $2$ .

$y = 8 - 28$

Subtract $28$ from $8$ .

$y = - 20$

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

$(2, - 20)$

Step 6

These are three possible solutions to the equation.

$(0, - 28), (1, - 24), (2, - 20)$

Step 7

Find Three Ordered Pair Solutions y+8=4(x-5)

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