# What is the slope of 2y=-2y+6x+9?

Jul 19, 2018

The slope is $\frac{3}{2}$ or $1.5$.

#### Explanation:

$2 y = - 2 y + 6 x + 9$

To find the slope, first make the equation in slope-intercept form, shown here:

When we put it in this form we can find the slope easily as it is the number multiplied by $x$.

$2 y = - 2 y + 6 x + 9$

First, add $\textcolor{b l u e}{2 y}$ to both sides of the equation:
$2 y \quad \textcolor{b l u e}{+ \quad 2 y} = - 2 y + 6 x + 9 \quad \textcolor{b l u e}{+ \quad 2 y}$

$4 y = 6 x + 9$

Now divide both sides by $\textcolor{b l u e}{4}$:
$\frac{4 y}{\textcolor{b l u e}{4}} = \frac{6 x + 9}{\textcolor{b l u e}{4}}$

$y = \frac{6}{4} x + \frac{9}{4}$

Simplify:
$y = \frac{3}{2} x + \frac{9}{4}$

Since we said earlier that the slope is the number multiplied by $x$, we know that the slope is $\frac{3}{2}$ or $1.5$.

Hope this helps!