Algebra Examples

$y - 2 = 4 (x - 3)$

Step 1

Solve the equation for $y$ .

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Step 1.1

Simplify $4 (x - 3)$ .

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Step 1.1.1

Rewrite.

$y - 2 = 0 + 0 + 4 (x - 3)$

Step 1.1.2

Simplify by adding zeros.

$y - 2 = 4 (x - 3)$

Step 1.1.3

Apply the distributive property.

$y - 2 = 4 x + 4 \cdot - 3$

Step 1.1.4

Multiply $4$ by $- 3$ .

$y - 2 = 4 x - 12$

Step 1.2

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

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Step 1.2.1

Add $2$ to both sides of the equation.

$y = 4 x - 12 + 2$

Step 1.2.2

Add $- 12$ and $2$ .

$y = 4 x - 10$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $y$ is $1$ and the degree of variable $x$ is $1$ .

Linear