Answer :


In the figure, we have two points marked, P = (-8, 3) and O1 = (9, 5)


According to question O1 is the origin for a different coordinate system, X1’O1X1 Y1’O1Y1.


For coordinates of P in the new system, we have to find the distance between O1and point P, measured FROM P.


By measuring distance on the graph above, we get


X1= -17 and Y1= -2


So, the coordinates of Point P in new system is (-17, -2)


OR,


Given, x= -8, y= 3


and a= 9, b=5 (Coordinates of O1)


As we know, x= a + x’


-8 = 9+ x’


x’ = -8-9


x’ = -17


similarly,


y= b + y1


3 = 5+ y1


y1 = 3-5


y1 = -2


New coordinate, (x1, y1) are (-17,-2)


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