When is the product of the square root of a prime number and a nonzero rational number a rational number?

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

What is f(3) for the quadratic function f(x)= 2x^2+ + x - 12

1-for what value of x is line a parallel to line b 2-for what value of x is line a parallel to line b