Question

Find the endpoint of the line segment with the given endpoint and midpoint.

Answer 1

Explanation:

`Midpoint((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))=(6,2)\\\\((x_(1)+6)/(2),(y_(1)-5)/(2))=(6,2)\\\\`

Compare the x and y values

`(x_(1)+6)/(2)= 6` ;
`(y_(1)-5)/(2)=2`

x₁ + 6 = 6*2 ; y₁ - 5 = 2*2

x₁ + 6 = 12 ; y₁ - 5 = 4

x₁ = 12 - 6 ; y₁ = 4 + 5

x₁ = 6 ; y₁ = 9

Endpoint (6,9)