Question

Point A is at ( -3,4) and Point C is at ( 2,-6 )

Answer 1

The required coordinates of point B will be (2/9, -14/9).

Point A is at ( -3,4) and Point C is at ( 2,-6 )

Given that point B on line, AC suck as the ratio of AB to AC is 4:5

The coordinates of point B will be,

{[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}

Breaking it down, the x coordinate is (mx2+nx1)/(m+n) and the y coordinate is (my2+ny1)/(m+n)

As per the question, m = 4 and n = 5

The coordinates of point B :

⇒ {[(4×-3+5×2)/(4+5)],[(4×4+5×-6)/(4+5)]}

⇒ {[(-12+10)/(9)],[(16-30)/(9)]}

⇒ (2/9, -14/9)

Thus, the required coordinates of point B will be (2/9, -14/9).

Learn more about the distance between two points here:

brainly.com/question/15958176

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