Question

Find the other endpoint of the line segment with the given endpoint and midpoint: endpoint(1.7, -4.6) midpoint (-7.5, 0.3).. (need extra help!! I can never get these)

Answer 1

(- 16.7, 5.2 )

Explanation:

let the coordinates of the endpoint be (x , y )

using the midpoint formula

consider the x- coordinate

`(1)/(2)`(x + 1.7) = - 7.5 ( multiply both sides by 2 )

x + 1. 7 = - 7.5 ( subtract 1.7 from both sides )

x = - 16.7

consider the y-coordinate

`(1)/(2)`(y - 4.6 ) = 0.3 ( multiply both sides by 2 )

y - 4.6 = 0.6 ( add 4.6 to both sides )

y = 5.2

endpoint = (- 16.7, 5.2 )