Equation of horizontal/vertical line and changing to $y=mx+c$ format

Question

I've been given the equation $2x-3y=5$.

I was wondering whether this is a horizontal or vertical equation and how would I rearrange this to $y=mx+c$. I know that this is a fairly basic equation but the $-3y$ was throwing me off.

Answer 1

2x-3y=5

-3y=5-2x

y=(5-2x)/-3

y=(5/-3)-(2/-3)x

y=-(5/3)+(2/3)x

y=-(2/3)x-(5/3)

• it's now in y=mx+b form