In the standard x y coordinate plane the point 2 1 is the mi

In the standard (x, y) coordinate plane, the point (2, -1) is the midpoint of the line segment with endpoints (10, -6) and (c, d). What is (c, d)?

Solution

end points (10, -6) and (c, d)

midpoint for two endpoints ={ (10+c)/2 . (-6+d)/2} ---(2, -1)

(10 +c)/2 = 2 ---> c = 4 -10 =-6

(-6 +d)/2 = -1 ----> d = -2 +6 = 4

(c, d) = ( - 6, 4)

Option b