The general form of the equation for a straight line is
y = mx + b
where
m = slope
b = y-intercept.
Consider the equation x - 2y - 3 = 0.
Add 2y to each side.
x - 3 = 2y, or
2y = x - 3
Divide through by 2.
y = (1/2)x - 3/2
This is in general form.
Consider the equation 2x - y + 3 = 0.
Add y to each side.
2x + 3 = y, or
y = 2x + 3
This is in general form.
Consider the equation 2x - y - 3 = 0.
Add y to each side.
2x - 3 = y, or
y = 2x - 3
This is in general form.