Write in y=mx+b Form 2y-3x=5

$2 y - 3 x = 5$

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.

Add $3 x$ to both sides of the equation.

$2 y = 5 + 3 x$

Divide each term in $2 y = 5 + 3 x$ by $2$ and simplify.

Divide each term in $2 y = 5 + 3 x$ by $2$ .

$\frac{2 y}{2} = \frac{5}{2} + \frac{3 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{5}{2} + \frac{3 x}{2}$

Divide $y$ by $1$ .

$y = \frac{5}{2} + \frac{3 x}{2}$

Write in $y = m x + b$ form.

Reorder $\frac{5}{2}$ and $\frac{3 x}{2}$ .

$y = \frac{3 x}{2} + \frac{5}{2}$

Reorder terms.

$y = \frac{3}{2} x + \frac{5}{2}$