x-3y= 1
The equation needs to be rewritten in proper Slope intercept form ( y = mx+b) where m is the slope and b is the y-intercept.
x-3y = 1
Subtract x from each side:
-3y = 1-x
Divide both sides by -3:
y = 1/-3 - x/-3
Simplify:
y = 1/3x - 1/3
The slope is 1/3