PLEASE HELP ITS A TEST!! Point A = (3, 4) Point B = (11,8)

Find the point on segment AB that is 3/4 of the distance from A to B

b

Step-by-step explanation:

Segment Ratio Formula: The coordinates of the point that splits a segment into an arbitrary ratio, n:m, or fractional part, n ⁄  (n+m)  , are given by:

            x = [n ⁄ (n+m)] (x2 - x1) + x1         and          y = [n ⁄ (n+m)] (y2 - y1) + y1

Where  [n ⁄ (n+m)] is the desired distance ratio from the starting point, both n and m are positive integers, and  ( x1, y1) are the coordinates of one end point and  ( x2, y2)  are the coordinates of the other endpoint.

For this problem, n = 3 and m = 1 since (3 ⁄ (3+1) = 3 ⁄ 4,  ( x1, y1) = (-5, -4) and ( x2, y2) = (-3,3)

x = [n ⁄ (n+m)] (x2 - x1) + x1  = {(3 ⁄ 4)*[ (-3 )- (-5) ]} + (-5) = [(3/4)*(2)] - 5 = [3/2] - 10/3 = -7 ⁄ 2

y = [n ⁄ (n+m)] (y2 - y1) + y1 ={ (3/4)*[3 - (- 4)] } + (-5)   = [(3/4) (7) ] - 5 = [21/4] - [20/4] = 1 ⁄ 4

The coordinates of the point are ( -7/2 , 1/4)

Step-by-step explanation:

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step-by-step explanation:

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