Algebra Examples

$4 x - 3 (x + 1) = y - 4 x$

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $4 x - 3 (x + 1)$ .

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Step 2.1.1.1

Simplify each term.

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Step 2.1.1.1.1

Apply the distributive property.

$4 x - 3 x - 3 \cdot 1 = y - 4 x$

Step 2.1.1.1.2

Multiply $- 3$ by $1$ .

$4 x - 3 x - 3 = y - 4 x$

Step 2.1.1.2

Subtract $3 x$ from $4 x$ .

$x - 3 = y - 4 x$

Step 2.2

Rewrite the equation as $y - 4 x = x - 3$ .

$y - 4 x = x - 3$

Step 2.3

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

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Step 2.3.1

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

$y = x - 3 + 4 x$

Step 2.3.2

Add $x$ and $4 x$ .

$y = 5 x - 3$