Question

8. If the coordinates of the point (4, -1) become (-2,-4) then new origin is (a) (6, 3) (b) (3,6) (c) (-6, -3) (d) (-3, -6)​

Answer 1

Answer:

(c) (-6,-3)

Step-by-step explanation:

New coordinate system is

Let new coordinate is (X,Y)=(-2,-4)

so new coordinate X=x-h

-2=4-h

h=6

similarly Y=y-k

-4=-1-k

k=3

Now for new cordinate of origin (0,0)

X=x-h

X=0-6

X=-6

similarly,

Y=y-k

Y=0-3

Y=-3

So the new cordinate of origin is (X,Y)=(-6,-3).