Write in y=mx+b Form 7/2x-7/2y=63/2

$\frac{7}{2} x - \frac{7}{2} y = \frac{63}{2}$

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.

Simplify each term.

Combine $\frac{7}{2}$ and $x$ .

$\frac{7 x}{2} - \frac{7}{2} y = \frac{63}{2}$

Combine $y$ and $\frac{7}{2}$ .

$\frac{7 x}{2} - \frac{y \cdot 7}{2} = \frac{63}{2}$

Move $7$ to the left of $y$ .

$\frac{7 x}{2} - \frac{7 y}{2} = \frac{63}{2}$

Subtract $\frac{7 x}{2}$ from both sides of the equation.

$- \frac{7 y}{2} = \frac{63}{2} - \frac{7 x}{2}$

Multiply both sides of the equation by $- \frac{2}{7}$ .

$- \frac{2}{7} (- \frac{7 y}{2}) = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{2}{7} (- \frac{7 y}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{7}$ into the numerator.

$\frac{- 2}{7} (- \frac{7 y}{2}) = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Move the leading negative in $- \frac{7 y}{2}$ into the numerator.

$\frac{- 2}{7} \cdot \frac{- 7 y}{2} = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Factor $2$ out of $- 2$ .

$\frac{2 (- 1)}{7} \cdot \frac{- 7 y}{2} = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Cancel the common factor.

$\frac{2 \cdot - 1}{7} \cdot \frac{- 7 y}{2} = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Rewrite the expression.

$\frac{- 1}{7} (- 7 y) = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Cancel the common factor of $7$ .

Factor $7$ out of $- 7 y$ .

$\frac{- 1}{7} (7 (- y)) = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Cancel the common factor.

$\frac{- 1}{7} (7 (- y)) = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Rewrite the expression.

$- - y = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Multiply $y$ by $1$ .

$y = - \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$

Simplify the right side.

Simplify $- \frac{2}{7} (\frac{63}{2} - \frac{7 x}{2})$ .

Apply the distributive property.

$y = - \frac{2}{7} \cdot \frac{63}{2} - \frac{2}{7} (- \frac{7 x}{2})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{7}$ into the numerator.

$y = \frac{- 2}{7} \cdot \frac{63}{2} - \frac{2}{7} (- \frac{7 x}{2})$

Factor $2$ out of $- 2$ .

$y = \frac{2 (- 1)}{7} \cdot \frac{63}{2} - \frac{2}{7} (- \frac{7 x}{2})$

Cancel the common factor.

$y = \frac{2 \cdot - 1}{7} \cdot \frac{63}{2} - \frac{2}{7} (- \frac{7 x}{2})$

Rewrite the expression.

$y = \frac{- 1}{7} \cdot 63 - \frac{2}{7} (- \frac{7 x}{2})$

Cancel the common factor of $7$ .

Factor $7$ out of $63$ .

$y = \frac{- 1}{7} \cdot (7 (9)) - \frac{2}{7} (- \frac{7 x}{2})$

Cancel the common factor.

$y = \frac{- 1}{7} \cdot (7 \cdot 9) - \frac{2}{7} (- \frac{7 x}{2})$

Rewrite the expression.

$y = - 1 \cdot 9 - \frac{2}{7} (- \frac{7 x}{2})$

Multiply $- 1$ by $9$ .

$y = - 9 - \frac{2}{7} (- \frac{7 x}{2})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{7}$ into the numerator.

$y = - 9 + \frac{- 2}{7} (- \frac{7 x}{2})$

Move the leading negative in $- \frac{7 x}{2}$ into the numerator.

$y = - 9 + \frac{- 2}{7} \cdot \frac{- 7 x}{2}$

Factor $2$ out of $- 2$ .

$y = - 9 + \frac{2 (- 1)}{7} \cdot \frac{- 7 x}{2}$

Cancel the common factor.

$y = - 9 + \frac{2 \cdot - 1}{7} \cdot \frac{- 7 x}{2}$

Rewrite the expression.

$y = - 9 + \frac{- 1}{7} (- 7 x)$

Cancel the common factor of $7$ .

Factor $7$ out of $- 7 x$ .

$y = - 9 + \frac{- 1}{7} (7 (- x))$

Cancel the common factor.

$y = - 9 + \frac{- 1}{7} (7 (- x))$

Rewrite the expression.

$y = - 9 - - x$

Multiply.

Multiply $- 1$ by $- 1$ .

$y = - 9 + 1 x$

Multiply $x$ by $1$ .

$y = - 9 + x$

Reorder $- 9$ and $x$ .

$y = x - 9$

Write in y=mx+b Form 7/2x-7/2y=63/2

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