Write in y=mx+b Form 4-(8y+5x)/2=6

$4 - \frac{8 y + 5 x}{2} = 6$

Step 1

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

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the left side.

Simplify $4 - \frac{8 y + 5 x}{2}$ .

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$4 \cdot \frac{2}{2} - \frac{8 y + 5 x}{2} = 6$

Simplify terms.

Combine $4$ and $\frac{2}{2}$ .

$\frac{4 \cdot 2}{2} - \frac{8 y + 5 x}{2} = 6$

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 - (8 y + 5 x)}{2} = 6$

Simplify the numerator.

Multiply $4$ by $2$ .

$\frac{8 - (8 y + 5 x)}{2} = 6$

Apply the distributive property.

$\frac{8 - (8 y) - (5 x)}{2} = 6$

Multiply $8$ by $- 1$ .

$\frac{8 - 8 y - (5 x)}{2} = 6$

Multiply $5$ by $- 1$ .

$\frac{8 - 8 y - 5 x}{2} = 6$

Multiply both sides by $2$ .

$\frac{8 - 8 y - 5 x}{2} \cdot 2 = 6 \cdot 2$

Simplify.

Simplify the left side.

Simplify $\frac{8 - 8 y - 5 x}{2} \cdot 2$ .

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{8 - 8 y - 5 x}{2} \cdot 2 = 6 \cdot 2$

Rewrite the expression.

$8 - 8 y - 5 x = 6 \cdot 2$

Simplify the expression.

Move $8$ .

$- 8 y - 5 x + 8 = 6 \cdot 2$

Reorder $- 8 y$ and $- 5 x$ .

$- 5 x - 8 y + 8 = 6 \cdot 2$

Simplify the right side.

Multiply $6$ by $2$ .

$- 5 x - 8 y + 8 = 12$

Solve for $y$ .

Move all terms not containing $y$ to the right side of the equation.

Add $5 x$ to both sides of the equation.

$- 8 y + 8 = 12 + 5 x$

Subtract $8$ from both sides of the equation.

$- 8 y = 12 + 5 x - 8$

Subtract $8$ from $12$ .

$- 8 y = 5 x + 4$

Divide each term in $- 8 y = 5 x + 4$ by $- 8$ and simplify.

Divide each term in $- 8 y = 5 x + 4$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{5 x}{- 8} + \frac{4}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{5 x}{- 8} + \frac{4}{- 8}$

Divide $y$ by $1$ .

$y = \frac{5 x}{- 8} + \frac{4}{- 8}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{5 x}{8} + \frac{4}{- 8}$

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

Factor $4$ out of $4$ .

$y = - \frac{5 x}{8} + \frac{4 (1)}{- 8}$

Cancel the common factors.

Factor $4$ out of $- 8$ .

$y = - \frac{5 x}{8} + \frac{4 \cdot 1}{4 \cdot - 2}$

Cancel the common factor.

$y = - \frac{5 x}{8} + \frac{4 \cdot 1}{4 \cdot - 2}$

Rewrite the expression.

$y = - \frac{5 x}{8} + \frac{1}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{5 x}{8} - \frac{1}{2}$

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

Reorder terms.

$y = - (\frac{5}{8} x) - \frac{1}{2}$

Remove parentheses.

$y = - \frac{5}{8} x - \frac{1}{2}$

Write in y=mx+b Form 4-(8y+5x)/2=6

Related Questions

Support LCMGCF.com by disabling your adblocker.