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

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

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.

Factor $5$ out of $5 x - 5 y$ .

Factor $5$ out of $5 x$ .

$\frac{5 (x) - 5 y}{4} = \frac{4 x - 4}{2}$

Factor $5$ out of $- 5 y$ .

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

Factor $5$ out of $5 (x) + 5 (- y)$ .

$\frac{5 (x - y)}{4} = \frac{4 x - 4}{2}$

Simplify the right side.

Cancel the common factor of $4 x - 4$ and $2$ .

Factor $2$ out of $4 x$ .

$\frac{5 (x - y)}{4} = \frac{2 (2 x) - 4}{2}$

Factor $2$ out of $- 4$ .

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

Factor $2$ out of $2 (2 x) + 2 (- 2)$ .

$\frac{5 (x - y)}{4} = \frac{2 (2 x - 2)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{5 (x - y)}{4} = \frac{2 (2 x - 2)}{2 (1)}$

Cancel the common factor.

$\frac{5 (x - y)}{4} = \frac{2 (2 x - 2)}{2 \cdot 1}$

Rewrite the expression.

$\frac{5 (x - y)}{4} = \frac{2 x - 2}{1}$

Divide $2 x - 2$ by $1$ .

$\frac{5 (x - y)}{4} = 2 x - 2$

Multiply both sides by $4$ .

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

Simplify.

Simplify the left side.

Simplify $\frac{5 (x - y)}{4} \cdot 4$ .

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

$5 (x - y) = (2 x - 2) \cdot 4$

Apply the distributive property.

$5 x + 5 (- y) = (2 x - 2) \cdot 4$

Multiply $- 1$ by $5$ .

$5 x - 5 y = (2 x - 2) \cdot 4$

Simplify the right side.

Simplify $(2 x - 2) \cdot 4$ .

Apply the distributive property.

$5 x - 5 y = 2 x \cdot 4 - 2 \cdot 4$

Multiply.

Multiply $4$ by $2$ .

$5 x - 5 y = 8 x - 2 \cdot 4$

Multiply $- 2$ by $4$ .

$5 x - 5 y = 8 x - 8$

Solve for $y$ .

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

Subtract $5 x$ from both sides of the equation.

$- 5 y = 8 x - 8 - 5 x$

Subtract $5 x$ from $8 x$ .

$- 5 y = 3 x - 8$

Divide each term in $- 5 y = 3 x - 8$ by $- 5$ and simplify.

Divide each term in $- 5 y = 3 x - 8$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{3 x}{- 5} + \frac{- 8}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{3 x}{- 5} + \frac{- 8}{- 5}$

Divide $y$ by $1$ .

$y = \frac{3 x}{- 5} + \frac{- 8}{- 5}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{3 x}{5} + \frac{- 8}{- 5}$

Dividing two negative values results in a positive value.

$y = - \frac{3 x}{5} + \frac{8}{5}$

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

Reorder terms.

$y = - (\frac{3}{5} x) + \frac{8}{5}$

Remove parentheses.

$y = - \frac{3}{5} x + \frac{8}{5}$

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

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