Find Three Ordered Pair Solutions (y-4)=-1/4(x+3)

$(y - 4) = - \frac{1}{4} (x + 3)$

Step 1

Solve the equation for $y$ .

Simplify $- \frac{1}{4} \cdot (x + 3)$ .

Rewrite.

$y - 4 = 0 + 0 - \frac{1}{4} \cdot (x + 3)$

Simplify by adding zeros.

$y - 4 = - \frac{1}{4} \cdot (x + 3)$

Apply the distributive property.

$y - 4 = - \frac{1}{4} x - \frac{1}{4} \cdot 3$

Combine $x$ and $\frac{1}{4}$ .

$y - 4 = - \frac{x}{4} - \frac{1}{4} \cdot 3$

Multiply $- \frac{1}{4} \cdot 3$ .

Multiply $3$ by $- 1$ .

$y - 4 = - \frac{x}{4} - 3 (\frac{1}{4})$

Combine $- 3$ and $\frac{1}{4}$ .

$y - 4 = - \frac{x}{4} + \frac{- 3}{4}$

Move the negative in front of the fraction.

$y - 4 = - \frac{x}{4} - \frac{3}{4}$

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

Add $4$ to both sides of the equation.

$y = - \frac{x}{4} - \frac{3}{4} + 4$

To write $4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = - \frac{x}{4} - \frac{3}{4} + 4 \cdot \frac{4}{4}$

Combine $4$ and $\frac{4}{4}$ .

$y = - \frac{x}{4} - \frac{3}{4} + \frac{4 \cdot 4}{4}$

Combine the numerators over the common denominator.

$y = - \frac{x}{4} + \frac{- 3 + 4 \cdot 4}{4}$

Simplify the numerator.

Multiply $4$ by $4$ .

$y = - \frac{x}{4} + \frac{- 3 + 16}{4}$

Add $- 3$ and $16$ .

$y = - \frac{x}{4} + \frac{13}{4}$

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.

$y = - \frac{0}{4} + \frac{13}{4}$

Simplify $- \frac{0}{4} + \frac{13}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{0 + 13}{4}$

Add $0$ and $13$ .

$y = \frac{13}{4}$

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

$(0, \frac{13}{4})$

Step 4

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

Remove parentheses.

$y = - \frac{1}{4} + \frac{13}{4}$

Simplify $- \frac{1}{4} + \frac{13}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{- 1 + 13}{4}$

Simplify the expression.

Add $- 1$ and $13$ .

$y = \frac{12}{4}$

Divide $12$ by $4$ .

$y = 3$

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

$(1, 3)$

Step 5

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

Remove parentheses.

$y = - \frac{2}{4} + \frac{13}{4}$

Simplify $- \frac{2}{4} + \frac{13}{4}$ .

Combine the numerators over the common denominator.

$y = \frac{- 2 + 13}{4}$

Add $- 2$ and $13$ .

$y = \frac{11}{4}$

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

$(2, \frac{11}{4})$

Step 6

These are three possible solutions to the equation.

$(0, \frac{13}{4}), (1, 3), (2, \frac{11}{4})$

Step 7

Find Three Ordered Pair Solutions (y-4)=-1/4(x+3)

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