Write in y=mx+b Form 7x+2y=16

$7 x + 2 y = 16$

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.

Subtract $7 x$ from both sides of the equation.

$2 y = 16 - 7 x$

Divide each term in $2 y = 16 - 7 x$ by $2$ and simplify.

Divide each term in $2 y = 16 - 7 x$ by $2$ .

$\frac{2 y}{2} = \frac{16}{2} + \frac{- 7 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{16}{2} + \frac{- 7 x}{2}$

Divide $y$ by $1$ .

$y = \frac{16}{2} + \frac{- 7 x}{2}$

Simplify the right side.

Simplify each term.

Divide $16$ by $2$ .

$y = 8 + \frac{- 7 x}{2}$

Move the negative in front of the fraction.

$y = 8 - \frac{7 x}{2}$

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

Reorder $8$ and $- \frac{7 x}{2}$ .

$y = - \frac{7 x}{2} + 8$

Reorder terms.

$y = - (\frac{7}{2} x) + 8$

Remove parentheses.

$y = - \frac{7}{2} x + 8$