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

$4 x + 2 y - 5 = 0$

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.

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

$2 y - 5 = - 4 x$

Add $5$ to both sides of the equation.

$2 y = - 4 x + 5$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

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

Factor $2$ out of $- 4 x$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 2 x$ by $1$ .

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