Find the Slope and y-intercept -6x+2y=-8

$- 6 x + 2 y = - 8$

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 $6 x$ to both sides of the equation.

$2 y = - 8 + 6 x$

Divide each term in $2 y = - 8 + 6 x$ by $2$ and simplify.

Divide each term in $2 y = - 8 + 6 x$ by $2$ .

$\frac{2 y}{2} = \frac{- 8}{2} + \frac{6 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 8}{2} + \frac{6 x}{2}$

Divide $y$ by $1$ .

$y = \frac{- 8}{2} + \frac{6 x}{2}$

Simplify the right side.

Simplify each term.

Divide $- 8$ by $2$ .

$y = - 4 + \frac{6 x}{2}$

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 x$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $3 x$ by $1$ .

$y = - 4 + 3 x$

Reorder $- 4$ and $3 x$ .

$y = 3 x - 4$

Step 2

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

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

$m = 3$

$b = - 4$

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

Slope: $3$

y-intercept: $(0, - 4)$

Slope: $3$

y-intercept: $(0, - 4)$

Step 3