F is a trigonometric function of the form f(x)=a\sin(bx+c)+d The function intersects its midline at (3,-6.5) and has a maximum point at (4,−2) Find a formula for f(x) Give an exact expression.

2x - 4y = 6
-3x + 3y = 12

In order to find x (first) you need to eliminate y

3( 2x - 4y = 6)
4( -3x + 3y = 12)

6x -12y = 18
-12x +12y = 48

y cancels out and you should now have

6x - 12x = 18 +48
Simplify the equation;

-6x = 66
Divide both sides by - 6 to get x by itself,

x = 11