Write in Slope-Intercept Form 4x-y=7

$4 x - y = 7$

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.

Subtract $4 x$ from both sides of the equation.

$- y = 7 - 4 x$

Divide each term in $- y = 7 - 4 x$ by $- 1$ and simplify.

Divide each term in $- y = 7 - 4 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{7}{- 1} + \frac{- 4 x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{7}{- 1} + \frac{- 4 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{7}{- 1} + \frac{- 4 x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $7$ by $- 1$ .

$y = - 7 + \frac{- 4 x}{- 1}$

Move the negative one from the denominator of $\frac{- 4 x}{- 1}$ .

$y = - 7 - 1 \cdot (- 4 x)$

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

$y = - 7 - (- 4 x)$

Multiply $- 4$ by $- 1$ .

$y = - 7 + 4 x$

Reorder $- 7$ and $4 x$ .

$y = 4 x - 7$