Step 1 :The equation of the line is given as \(y=-2x-3\). We can substitute the given \(x\) values into the equation to find the corresponding \(y\) values. This will give us the values for \(A, B\) and \(C\).
Step 2 :For \(x=-1\), \(y=-2(-1)-3=-1\). So, \(A=-1\).
Step 3 :For \(x=0\), \(y=-2(0)-3=-3\). So, \(B=-3\).
Step 4 :For \(x=2\), \(y=-2(2)-3=-7\). So, \(C=-7\).
Step 5 :\(\boxed{A = -1, B = -3, C = -7}\)