Algebra Examples

4 x - 2 y = 6

$4 x - 2 y = 6$

Step 1

The slope-intercept form is

y = m x + b

$y = m x + b$ , where

m

$m$ is the slope and

b

$b$ is the y-intercept.

y = m x + b

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

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Step 2.1

Subtract

4 x

$4 x$ from both sides of the equation.

- 2 y = 6 - 4 x

$- 2 y = 6 - 4 x$

Step 2.2

Divide each term in

- 2 y = 6 - 4 x

$- 2 y = 6 - 4 x$ by

- 2

$- 2$ and simplify.

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Step 2.2.1

Divide each term in

- 2 y = 6 - 4 x

$- 2 y = 6 - 4 x$ by

- 2

$- 2$ .

\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 4 x}{- 2}

$\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 4 x}{- 2}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of

- 2

$- 2$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 4 x}{- 2}$

Step 2.2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{6}{- 2} + \frac{- 4 x}{- 2}$

$y = \frac{6}{- 2} + \frac{- 4 x}{- 2}$

$y = \frac{6}{- 2} + \frac{- 4 x}{- 2}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Simplify each term.

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Step 2.2.3.1.1

Divide

$6$ by

$- 2$ .

$y = - 3 + \frac{- 4 x}{- 2}$

Step 2.2.3.1.2

Cancel the common factor of

$- 4$ and

$- 2$ .

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Step 2.2.3.1.2.1

Factor

$- 2$ out of

$- 4 x$ .

$y = - 3 + \frac{- 2 (2 x)}{- 2}$

Step 2.2.3.1.2.2

Cancel the common factors.

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Step 2.2.3.1.2.2.1

Factor

$- 2$ out of

$- 2$ .

$y = - 3 + \frac{- 2 (2 x)}{- 2 (1)}$

Step 2.2.3.1.2.2.2

Cancel the common factor.

$y = - 3 + \frac{- 2 (2 x)}{- 2 \cdot 1}$

Step 2.2.3.1.2.2.3

Rewrite the expression.

$y = - 3 + \frac{2 x}{1}$

Step 2.2.3.1.2.2.4

Divide

$2 x$ by

$1$ .

$y = - 3 + 2 x$

$y = - 3 + 2 x$

$y = - 3 + 2 x$

$y = - 3 + 2 x$

$y = - 3 + 2 x$

$y = - 3 + 2 x$

Step 2.3

Reorder

$- 3$ and

$2 x$ .

$y = 2 x - 3$

$y = 2 x - 3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$