Write in y=mx+b Form 2y+3=6+8x

$2 y + 3 = 6 + 8 x$

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.

$2 y = 6 + 8 x - 3$

Subtract $3$ from $6$ .

$2 y = 8 x + 3$

Divide each term in $2 y = 8 x + 3$ by $2$ and simplify.

Divide each term in $2 y = 8 x + 3$ by $2$ .

$\frac{2 y}{2} = \frac{8 x}{2} + \frac{3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{8 x}{2} + \frac{3}{2}$

Divide $y$ by $1$ .

$y = \frac{8 x}{2} + \frac{3}{2}$

Simplify the right side.

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 x$ .

$y = \frac{2 (4 x)}{2} + \frac{3}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 (4 x)}{2 (1)} + \frac{3}{2}$

Cancel the common factor.

$y = \frac{2 (4 x)}{2 \cdot 1} + \frac{3}{2}$

Rewrite the expression.

$y = \frac{4 x}{1} + \frac{3}{2}$

Divide $4 x$ by $1$ .

$y = 4 x + \frac{3}{2}$