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

$6 x - 8 y = 8$

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.

$y = m x + b$

Subtract $6 x$ from both sides of the equation.

$- 8 y = 8 - 6 x$

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

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

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

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $8$ by $- 8$ .

$y = - 1 + \frac{- 6 x}{- 8}$

Cancel the common factor of $- 6$ and $- 8$ .

Factor $- 2$ out of $- 6 x$ .

$y = - 1 + \frac{- 2 (3 x)}{- 8}$

Cancel the common factors.

Factor $- 2$ out of $- 8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Reorder $- 1$ and $\frac{3 x}{4}$ .

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

Reorder terms.

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

Step 2

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

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

$m = \frac{3}{4}$

$b = - 1$

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

Slope: $\frac{3}{4}$

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

Slope: $\frac{3}{4}$

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

Step 3

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

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