Write in y=mx+b Form y-2/3=-2(x-1/4)

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

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 right side.

Simplify $- 2 (x - \frac{1}{4})$ .

Simplify terms.

Apply the distributive property.

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

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{4}$ into the numerator.

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

Factor $2$ out of $- 2$ .

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

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify each term.

Move the negative in front of the fraction.

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

Multiply $- 1 (- \frac{1}{2})$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $\frac{1}{2}$ by $1$ .

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

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

Add $\frac{2}{3}$ to both sides of the equation.

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

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{3}{3}$ .

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

Multiply $2$ by $3$ .

$y = - 2 x + \frac{3}{6} + \frac{2}{3} \cdot \frac{2}{2}$

Multiply $\frac{2}{3}$ by $\frac{2}{2}$ .

$y = - 2 x + \frac{3}{6} + \frac{2 \cdot 2}{3 \cdot 2}$

Multiply $3$ by $2$ .

$y = - 2 x + \frac{3}{6} + \frac{2 \cdot 2}{6}$

Combine the numerators over the common denominator.

$y = - 2 x + \frac{3 + 2 \cdot 2}{6}$

Simplify the numerator.

Multiply $2$ by $2$ .

$y = - 2 x + \frac{3 + 4}{6}$

Add $3$ and $4$ .

$y = - 2 x + \frac{7}{6}$

Write in y=mx+b Form y-2/3=-2(x-1/4)

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