Find Three Ordered Pair Solutions y-4=7(x-6)

$y - 4 = 7 (x - 6)$

Step 1

Solve the equation for $y$ .

Simplify $7 (x - 6)$ .

Rewrite.

$y - 4 = 0 + 0 + 7 (x - 6)$

Simplify by adding zeros.

$y - 4 = 7 (x - 6)$

Apply the distributive property.

$y - 4 = 7 x + 7 \cdot - 6$

Multiply $7$ by $- 6$ .

$y - 4 = 7 x - 42$

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

Add $4$ to both sides of the equation.

$y = 7 x - 42 + 4$

Add $- 42$ and $4$ .

$y = 7 x - 38$

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.

$y = 7 (0) - 38$

Simplify $7 (0) - 38$ .

Multiply $7$ by $0$ .

$y = 0 - 38$

Subtract $38$ from $0$ .

$y = - 38$

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

$(0, - 38)$

Step 4

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

Remove parentheses.

$y = 7 (1) - 38$

Simplify $7 (1) - 38$ .

Multiply $7$ by $1$ .

$y = 7 - 38$

Subtract $38$ from $7$ .

$y = - 31$

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

$(1, - 31)$

Step 5

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

Remove parentheses.

$y = 7 (2) - 38$

Simplify $7 (2) - 38$ .

Multiply $7$ by $2$ .

$y = 14 - 38$

Subtract $38$ from $14$ .

$y = - 24$

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

$(2, - 24)$

Step 6

These are three possible solutions to the equation.

$(0, - 38), (1, - 31), (2, - 24)$

Step 7

Find Three Ordered Pair Solutions y-4=7(x-6)

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