I'm asked to find the eqn of a line that has been rotated around a point Q(x0,y0)
where the eqn of the original line is ax+by+c=0
Is it acceptable to treat the line as the point P(a,b) to ultimately find point R (the end location of P) and ignore the point c (simply adding it back in at the end of the work) I ask this as my lecturer told us all we should follow 5 steps.
1. Move the point Q to the origin so we can use the rotation matrix and hence subtract Q from P which we will call P'.
2. Then turn the point P' into a column matrix.
3.Multiply by the rotational matrix
4. Turn the new column vector into a coordinate R'
5. Turn R' into R (our desired point) by adding Q to R'
I am extremely confused as to what to do once we have ascertained this point R, as I end up with no points without a coefficient of x or y when I convert R into an eqn with the coordinates as coefficients of x and y in an eqn of form ?x+?y=0 I know the answer has similar points as simply constants.
So is my understanding of the principles ok or am I misinterpreting something along the way.
Thanks in advance