Write in y=mx+b Form 4y-10=-2(5-x)

$4 y - 10 = - 2 (5 - x)$

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 $- 2 (5 - x)$ .

Apply the distributive property.

$4 y - 10 = - 2 \cdot 5 - 2 (- x)$

Multiply.

Multiply $- 2$ by $5$ .

$4 y - 10 = - 10 - 2 (- x)$

Multiply $- 1$ by $- 2$ .

$4 y - 10 = - 10 + 2 x$

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

Add $10$ to both sides of the equation.

$4 y = - 10 + 2 x + 10$

Combine the opposite terms in $- 10 + 2 x + 10$ .

Add $- 10$ and $10$ .

$4 y = 2 x + 0$

Add $2 x$ and $0$ .

$4 y = 2 x$

Divide each term in $4 y = 2 x$ by $4$ and simplify.

Divide each term in $4 y = 2 x$ by $4$ .

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

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

Factor $2$ out of $2 x$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

$y = \frac{2 x}{2 \cdot 2}$

Cancel the common factor.

$y = \frac{2 x}{2 \cdot 2}$

Rewrite the expression.

$y = \frac{x}{2}$

Reorder terms.

$y = \frac{1}{2} x$