Find the Slope and y-intercept 2y-4x=32

$2 y - 4 x = 32$

Step 1

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Add $4 x$ to both sides of the equation.

$2 y = 32 + 4 x$

Divide each term in $2 y = 32 + 4 x$ by $2$ and simplify.

Divide each term in $2 y = 32 + 4 x$ by $2$ .

$\frac{2 y}{2} = \frac{32}{2} + \frac{4 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{32}{2} + \frac{4 x}{2}$

Divide $y$ by $1$ .

$y = \frac{32}{2} + \frac{4 x}{2}$

Simplify the right side.

Simplify each term.

Divide $32$ by $2$ .

$y = 16 + \frac{4 x}{2}$

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

Factor $2$ out of $4 x$ .

$y = 16 + \frac{2 (2 x)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = 16 + \frac{2 (2 x)}{2 (1)}$

Cancel the common factor.

$y = 16 + \frac{2 (2 x)}{2 \cdot 1}$

Rewrite the expression.

$y = 16 + \frac{2 x}{1}$

Divide $2 x$ by $1$ .

$y = 16 + 2 x$

Reorder $16$ and $2 x$ .

$y = 2 x + 16$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 2$

$b = 16$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $2$

y-intercept: $(0, 16)$

Slope: $2$

y-intercept: $(0, 16)$

Step 3