Final answer:
a) Y = 12x - 36. The equation of the line with a slope of 12 and passing through the point (3,20) is Y = 12x - 36.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 12 and the line passes through the point (3,20), we can substitute these values into the equation.
So, substituting the values, we get y = 12x - 16.
Therefore, the correct answer is a) Y = 12x - 36.