# How do you change the equation 2x-6y=5 from standard to point-slope and slope intercept?

Apr 3, 2015

You isolate the $y$ on one side, and the rest on the other

$2 x - 6 y = 5 \to$ add $6 y$ and subtract $5$ on both sides

$2 x - 5 = 6 y \to$ divide everything by $6$

$\frac{1}{3} x - \frac{5}{6} = y \to y = \frac{1}{3} x - \frac{5}{6}$

Where $\frac{1}{3}$ is the slope, and $- \frac{5}{6}$ is the $y$-intercept (for $x = 0$)