Write in y=mx+b Form (y+7x)/2=x+3

$\frac{y + 7 x}{2} = x + 3$

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.

Multiply both sides by $2$ .

$\frac{y + 7 x}{2} \cdot 2 = (x + 3) \cdot 2$

Simplify.

Simplify the left side.

Simplify $\frac{y + 7 x}{2} \cdot 2$ .

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{y + 7 x}{2} \cdot 2 = (x + 3) \cdot 2$

Rewrite the expression.

$y + 7 x = (x + 3) \cdot 2$

Reorder $y$ and $7 x$ .

$7 x + y = (x + 3) \cdot 2$

Simplify the right side.

Simplify $(x + 3) \cdot 2$ .

Apply the distributive property.

$7 x + y = x \cdot 2 + 3 \cdot 2$

Simplify the expression.

Move $2$ to the left of $x$ .

$7 x + y = 2 \cdot x + 3 \cdot 2$

Multiply $3$ by $2$ .

$7 x + y = 2 x + 6$

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

Subtract $7 x$ from both sides of the equation.

$y = 2 x + 6 - 7 x$

Subtract $7 x$ from $2 x$ .

$y = - 5 x + 6$