Find the Slope and y-intercept x-y=4

$x - y = 4$

Step 1

Rewrite in slope-intercept form.

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

$y = m x + b$

Subtract $x$ from both sides of the equation.

$- y = 4 - x$

Divide each term in $- y = 4 - x$ by $- 1$ and simplify.

Divide each term in $- y = 4 - x$ by $- 1$ .

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $4$ by $- 1$ .

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

Dividing two negative values results in a positive value.

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

Divide $x$ by $1$ .

$y = - 4 + x$

Reorder $- 4$ and $x$ .

$y = x - 4$

Step 2

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

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 1$

$b = - 4$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $1$

y-intercept: $(0, - 4)$

Slope: $1$

y-intercept: $(0, - 4)$

Step 3