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
[tex]\frac{x+1}{2}[/tex] = 4 ( multiply both sides by 2 )
x + 1 = 8 ( subtract 1 from both sides )
x = 7
and
[tex]\frac{y+3}{2}[/tex] = 1 ( multiply both sides by 2 )
y + 3 = 2 ( subtract 3 from both sides )
y = - 1
The coordinates of B = (7, - 1 )
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)