3x - 5y = 18
To find the slope and the intercept, we need to first re-arrange the equation to be in the form y=mx + b
That is;
-5y = -3x + 18
Divide through the equation by -5
y = (3/5) x - 18/5
Comparing with y =mx + b
where m is the slope and b is the intercept
slope = m = 3/5
Intercept = b = -18/5