Find the Slope and y-intercept -8x+4y=-4

$- 8 x + 4 y = - 4$

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 $8 x$ to both sides of the equation.

$4 y = - 4 + 8 x$

Divide each term in $4 y = - 4 + 8 x$ by $4$ and simplify.

Divide each term in $4 y = - 4 + 8 x$ by $4$ .

$\frac{4 y}{4} = \frac{- 4}{4} + \frac{8 x}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 4}{4} + \frac{8 x}{4}$

Divide $y$ by $1$ .

$y = \frac{- 4}{4} + \frac{8 x}{4}$

Simplify the right side.

Simplify each term.

Divide $- 4$ by $4$ .

$y = - 1 + \frac{8 x}{4}$

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 x$ .

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

Cancel the common factors.

Factor $4$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 x$ by $1$ .

$y = - 1 + 2 x$

Reorder $- 1$ and $2 x$ .

$y = 2 x - 1$

Step 2

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

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

$m = 2$

$b = - 1$

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

Slope: $2$

y-intercept: $(0, - 1)$

Slope: $2$

y-intercept: $(0, - 1)$

Step 3