# What is the slope of 9y=-18y+45x+3?

Apr 22, 2016

$\textcolor{b l u e}{\implies \text{ slope } \to m = \frac{45}{27}}$

#### Explanation:

Given:$\text{ } 9 y = - 18 y + 45 + 3$

Convert into standard for $y = m x + c$

Add $\textcolor{b l u e}{18 y}$ to both sides

$\textcolor{b r o w n}{9 y \textcolor{b l u e}{+ 18 y} = - 18 y \textcolor{b l u e}{+ 18 y} + 45 x + 3}$

$27 y = 0 + 45 x + 3$

Divide both sides by $\textcolor{b l u e}{27}$ giving:

color(brown)(27/(color(blue)(27) )y=+45/(color(blue)(27))x+3/(color(blue)(27))

But $\frac{27}{27} = 1$

$y = \frac{45}{27} x + \frac{1}{9}$
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Compare this to $y = m x + c$ where $m$ is the gradient (slope)

$\textcolor{b l u e}{\implies \text{ slope } \to m = \frac{45}{27}}$