Write in y=mx+b Form x=4y-7

$x = 4 y - 7$

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.

Rewrite the equation as $4 y - 7 = x$ .

$4 y - 7 = x$

Add $7$ to both sides of the equation.

$4 y = x + 7$

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

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

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Reorder terms.

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