In the xy-plane, line L passes through the vertex of the parabola y=2(x-1)^2+3 and the point (6,3). What is the slope of line L?
What is the simple way to find the answer?
ANS: 0
Obviously you need to find the vertex of the parabola to find the slope of line L.
Fortunately, they give you the equation of the parabola in the easiest form possible; the vertex can be found by just reading the numbers: (1,3) (In general, the vertex of the parabola y = a(x-h)^2 + k for a ≠ 0 is at (h,k)). The slope of the line connecting (1,3) and (6,3) is 0.
That wasn’t too bad for level 4, was it?