Verified Answer :

Answer:

B (7, - 1 )

Step-by-step explanation:

the coordinates of the midpoint are the average of the x and y coordinates of the endpoints A and B

Calculate the x and y coordinates using the midpoint formula and equate to the x and y coordinates of M.

A (1, 3 ) , let B = (x, y ) , then

\(\frac{x+1}{2}\) = 4 ( multiply both sides by 2 )

x + 1 = 8 ( subtract 1 from both sides )

x = 7

and

\(\frac{y+3}{2}\) = 1 ( multiply both sides by 2 )

y + 3 = 2 ( subtract 3 from both sides )

y = - 1

The coordinates of B = (7, - 1 )

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Answer:

B = (7, -1)

Step-by-step explanation:

Let (x,y) be the coordinate of B.

Mid-point of AB = {(1 + x)/2, (y + 3)/2}

(4,1) = {(1 + x)/2, (y + 3)/2}

(1 + x)/2= 4

1 + x = 8

x = 8 - 1

x = 7

Also,

(y + 3)/2 = 1

y + 3 = 2

y = 2 - 3

y = -1

Hence, the coordinate of B = (7, -1)

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