Algebra Examples

4 x - y = 1

$4 x - y = 1$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

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 1.2

Subtract

$4 x$ from both sides of the equation.

$- y = 1 - 4 x$

Step 1.3

Divide each term in

$- y = 1 - 4 x$ by

$- 1$ and simplify.

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Step 1.3.1

Divide each term in

$- y = 1 - 4 x$ by

$- 1$ .

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

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Dividing two negative values results in a positive value.

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

Step 1.3.2.2

Divide

$y$ by

$1$ .

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

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Simplify each term.

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Step 1.3.3.1.1

Divide

$1$ by

$- 1$ .

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

Step 1.3.3.1.2

Move the negative one from the denominator of

$\frac{- 4 x}{- 1}$ .

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

Step 1.3.3.1.3

Rewrite

$- 1 \cdot (- 4 x)$ as

$- (- 4 x)$ .

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

Step 1.3.3.1.4

Multiply

$- 4$ by

$- 1$ .

$y = - 1 + 4 x$

Step 1.4

Reorder

$- 1$ and

$4 x$ .

$y = 4 x - 1$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

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Step 2.1

Find the values of

$m$ and

$b$ using the form

$y = m x + b$ .

$m = 4$

$b = - 1$

Step 2.2

The slope of the line is the value of

$m$ , and the y-intercept is the value of

$b$ .

Slope:

$4$

y-intercept:

$(0, - 1)$

Slope:

$4$

y-intercept:

$(0, - 1)$

Step 3