Question

Two points P and Q have coordinates (-2, 3) and (1, 3) respectively. A translation map point P to P’ (10, 10)
(a) Find the coordinates of Q’ the image of Q under the translation
(b) The position vector of P and Q in (a) above are p and q respectively given that mp – nq =[-12,9 ]. find the value of m and n

Answer 1

Rule for translation:
(x,y)-> (x+h, y+k)
Solve for h,k from
(-2,3)->(10,10)
(a) hence find the image Q' of Q.
(b)
if mp-nq=(-12,9), this means
m(-2,3)-n(1,3)=(-12,9)
Split into individual equations for x and y to get
-2m-n = -12
3m-3n = 9
Solve for m,n.

Answer 2

give me the calculations

Answer 3

(_12,9)