Precalculus Examples

$(y + 2^{2}) = - 4 (x - 1)$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Simplify the left side.

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Step 2.1

Raise $2$ to the power of $2$ .

$(y + 4) = - 4 (x - 1)$

Step 3

Simplify the right side.

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Step 3.1

Simplify $- 4 (x - 1)$ .

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Step 3.1.1

Apply the distributive property.

$(y + 4) = - 4 x - 4 \cdot - 1$

Step 3.1.2

Multiply $- 4$ by $- 1$ .

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

Step 4

Move all terms containing variables to the left side of the equation.

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Step 4.1

Add $4 x$ to both sides of the equation.

$(y + 4) + 4 x = 4$

Step 4.2

Move $4$ .

$y + 4 x + 4 = 4$

Step 4.3

Reorder $y$ and $4 x$ .

$4 x + y + 4 = 4$

Step 5

Move all terms not containing a variable to the right side of the equation.

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Step 5.1

Subtract $4$ from both sides of the equation.

$4 x + y = 4 - 4$

Step 5.2

Subtract $4$ from $4$ .

$4 x + y = 0$

Step 6