Write in y=mx+b Form -5x+4y-2=0

$- 5 x + 4 y - 2 = 0$

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.

Move all terms not containing $y$ to the right side of the equation.

Add $5 x$ to both sides of the equation.

$4 y - 2 = 5 x$

Add $2$ to both sides of the equation.

$4 y = 5 x + 2$

Divide each term in $4 y = 5 x + 2$ by $4$ and simplify.

Divide each term in $4 y = 5 x + 2$ by $4$ .

$\frac{4 y}{4} = \frac{5 x}{4} + \frac{2}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{5 x}{4} + \frac{2}{4}$

Divide $y$ by $1$ .

$y = \frac{5 x}{4} + \frac{2}{4}$

Simplify the right side.

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$y = \frac{5 x}{4} + \frac{2 (1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$y = \frac{5 x}{4} + \frac{2 \cdot 1}{2 \cdot 2}$

Cancel the common factor.

$y = \frac{5 x}{4} + \frac{2 \cdot 1}{2 \cdot 2}$

Rewrite the expression.

$y = \frac{5 x}{4} + \frac{1}{2}$

Reorder terms.

$y = \frac{5}{4} x + \frac{1}{2}$