# How do you convert 2x-5y+6=0 into slope intercept form?

Apr 1, 2015

Answer : $y = \frac{2}{5} x + \frac{6}{5}$

The slope-intercept form equation is of the form:
$y = m x + c$

We need to arrange $2 x - 5 y + 6 = 0$ in the form above, right?

Here we go,

$- 5 y + 6 = - 2 x$

By factoring $- 5$ on my left hand side,
$- 5 \left(y - \frac{6}{5}\right) = - 2 x$

Dividing both sides by $- 5$
$\implies y - \frac{6}{5} = \frac{- 2 x}{- 5}$

$\implies y - \frac{6}{5} = \frac{2}{5} \left(x\right)$

$y = \frac{2}{5} x + \frac{6}{5}$

and voila.