Book Maths Puzzle Algebra

I have -3x + 6y = -12, I can workout how to get to x=0,y=-2,

but I'm lost on the x=3,y=-1/2.

-3x + 6y = -12
6y = 3x -12 (take over the 3x to leave 6y)
y =6/3x - 2 (divide by 6 to get to y)
y = 2x - 2 (final answer)

When I enter x = 3, I get y = 4, not y = -1/2.
as
y = 2x -2 = 6 - 2 = 4

Marcus

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I need help with all this How many distinct diagonals does a hexagon have?
Option
A. 6
B. 9
C. 12
D. 18
Help would be much appreciated with the following question.
The standard equation of a parabola is
y^2=4ax

A general point on this curve has co-ordianates x=at^2, y=2at where t is a (variable) parameter. A point P on the curve has co-ordinates x=a(t1)^2,

y=2a(t1). A chord is drawn through P to meet the parabola again at Q, which has co-ordinates x=a(t2)^2, y=2a(t2). If this chord passes through the focus S =(a,0) of the parabola find a simple relationship between (t1) and (t2).
Find the point at which the tangents to the parabola at P and Q meet.
(t1) is my notation for t with a subscript 1
(t2) is my notation for t with a subscript 2.