Question

I need help with no 4 with full solution

Answer 1

4. (4, 13)

Explanation:

I solved this problem using the midpoint formula to solve for the other endpoint.

`(x_(m), y_(m)= ) ((x_(1) +x_(2))/(2) ),( (y_(1)+y_(2) )/(2) )`

given:

midpoint- (2,8)

endpoint #2- (0,3)

`x_(m) =2\\y_(m) =8 \\x_(2) =0\\y_(2) = 3`

substitute these values into the midpoint equation:

`((x_(1)+0 )/(2) , (y_(1)+3 )/(2) )`

Find the x and y values that make the equation above equal to the midpoint, (2,8)

`x_(1) = 4\\y_(1) = 13`

so, the other endpoint is

(4,13)