Endpoint: (5/3, 1 2/11) Midpoint: (1 7/12, 4 2/3) find the second Endpoint
Let's call the second endpoint (x1 , y1)....and by the midpoint formula, we have
(x1 + 5/3)/2 = 1 + 7/12 and (y1 + 1 + 2/11)/2 = 4 + 2/3
And converting 1 + 7/12 to 19/12 and solving the first equation, we have
(x1 + 5/3)/2 = 19/12 multiply both sides by 2
x1 + 5/3 = 38/12 subtract 5/3 from both sides
x1 = 38/12 - 5/3 = 3/2
And converting 1 + 2/11 to 13/11 and 4 + 2/3 to 14/3 and proceeding as before, we have
(y1 + 13/11)/2 = 14/3 multiply both sides by 2
(y1 + 13/11) = 28/3 subtract 13/11 from each side
(y1 = 28/3 - 13/11 = 269/33
So, the other endpoint is (3/2, 269/33)
Let's call the second endpoint (x1 , y1)....and by the midpoint formula, we have
(x1 + 5/3)/2 = 1 + 7/12 and (y1 + 1 + 2/11)/2 = 4 + 2/3
And converting 1 + 7/12 to 19/12 and solving the first equation, we have
(x1 + 5/3)/2 = 19/12 multiply both sides by 2
x1 + 5/3 = 38/12 subtract 5/3 from both sides
x1 = 38/12 - 5/3 = 3/2
And converting 1 + 2/11 to 13/11 and 4 + 2/3 to 14/3 and proceeding as before, we have
(y1 + 13/11)/2 = 14/3 multiply both sides by 2
(y1 + 13/11) = 28/3 subtract 13/11 from each side
(y1 = 28/3 - 13/11 = 269/33
So, the other endpoint is (3/2, 269/33)