Write in y=mx+b Form 2y+3=8+9x

$2 y + 3 = 8 + 9 x$

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 $3$ from both sides of the equation.

$2 y = 8 + 9 x - 3$

Subtract $3$ from $8$ .

$2 y = 9 x + 5$

Divide each term in $2 y = 9 x + 5$ by $2$ and simplify.

Divide each term in $2 y = 9 x + 5$ by $2$ .

$\frac{2 y}{2} = \frac{9 x}{2} + \frac{5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{9 x}{2} + \frac{5}{2}$

Divide $y$ by $1$ .

$y = \frac{9 x}{2} + \frac{5}{2}$

Reorder terms.

$y = \frac{9}{2} x + \frac{5}{2}$