Question

Question 6 (5 points)

The midpoint of the line segment is (11,-5). If one endpoint of the line segment is
(-4,-8), find the coordinates of other endpoint.
O (26,-2)
O (15,3)
O (3.5, -6.5)
(26,3)

Answer 1

(26,-2)

Explanation:

For any two points on coordinate plane (x1,y1) and ( x2,y2)

coordinate of midpoint is given by (x1+x2)/2 , (y1+y2)/2

Given

(x1,y1) = (-4,-8)

midpoint : (11,-5)

let other point be x2 and y2

therefor by using formula for midpoint coordinate given above we have

midpoint : (11,-5) = (-4+x2)/2 , (-8+y2)/2

Hence point

11 will be equivalent to (-4+x2)/2

11 = (-4+x2)/2

=> 11*2 = -4+x2

=>22 + 4 = x2

=>x2 = 26

similarly

-5 will be equal to (-8+y2)/2

-5 = (-8+y2)/2

=> -5*2 = -8+y2

=> -10 + 8 = y2

=> y2 = -2

Therefore coordinates of other point is (26,-2).