What are the coordinates of the point 3/4 of the way from X(1, -6) to Y(9, 10)?

Step-by-step explanation:

Given

Required

Determine the coordinate of the point;

First, we need to determine the ratio of the point between X and Y

Represent the point with P

If the distance between point X and point P is ,

The distance between point P and point Y will be

Multiply through by 4

Now, the coordinate of P can be calculated using

Where

Substitute these values in the formula above

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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