# How do you find the slope of 2x-5y=0?

Apr 8, 2015
• We can find the Slope of a Line by expressing its equation in the Slope Intercept form .

• The Slope Intercept Form of the equation of a given line is:
$y = m x + c$
where $m$ is the Slope of that line, and $c$ is the Y intercept

• To get it in the Slope Intercept form, we first transpose $2 x$ to the Right hand Side
We get $- 5 y = - 2 x$

To have just $y$ on the Left Hand Side, we divide both sides by $- 5$

$\frac{\cancel{- 5} y}{\cancel{- 5}} = \frac{- 2 x}{-} 5$

$y = \left(\frac{2}{5}\right) \cdot x + 0$ is the Slope Intercept form of 2x−5y=0

• The Slope is color(green)(2/5 and the Y intercept is $0$