Find the Slope and y-intercept -2x+8y=24

$- 2 x + 8 y = 24$

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 $2 x$ to both sides of the equation.

$8 y = 24 + 2 x$

Divide each term in $8 y = 24 + 2 x$ by $8$ and simplify.

Divide each term in $8 y = 24 + 2 x$ by $8$ .

$\frac{8 y}{8} = \frac{24}{8} + \frac{2 x}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{24}{8} + \frac{2 x}{8}$

Divide $y$ by $1$ .

$y = \frac{24}{8} + \frac{2 x}{8}$

Simplify the right side.

Simplify each term.

Divide $24$ by $8$ .

$y = 3 + \frac{2 x}{8}$

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2 x$ .

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

Cancel the common factors.

Factor $2$ out of $8$ .

$y = 3 + \frac{2 x}{2 \cdot 4}$

Cancel the common factor.

$y = 3 + \frac{2 x}{2 \cdot 4}$

Rewrite the expression.

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

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

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

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

Reorder terms.

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

Step 2

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

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

$m = \frac{1}{4}$

$b = 3$

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

Slope: $\frac{1}{4}$

y-intercept: $(0, 3)$

Slope: $\frac{1}{4}$

y-intercept: $(0, 3)$

Step 3

Find the Slope and y-intercept -2x+8y=24

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