Question

Find the missing end point if H is the midpoint of PS. P(2,5) and H (3,4) find S (endpoint)

Answer 1

`\huge \boxed{\mathrm{S(4,3)}}`

Explanation:

We can use the midpoint formula to solve for the endpoint.

`\displaystyle m=((x_1+x_2 )/(2) ,(y_1+y_2)/(2) )`

The midpoint of PS is H.

`\displaystyle (2+x_2 )/(2) =3 \ \ \ (5+y_2)/(2) =4`

`\displaystyle 2+x_2 =6 \ \ \ 5+y_2 =8`

`x_2=4 \ \ \ y_2=3`

S(4, 3)

Answer 2

(4,3)

Explanation:

To find the midpoint add the end points and divide by 2

P(2,5) S ( sx, sy) and the midpoint is and H (3,4)

X coordinate

( 2+ sx) /2 = 3

Multiply each side by 2

2+sx = 3*2

2+sx = 6

Subtract 2

sx = 4

Y coordinate

( 5+ sy) /2 = 4

Multiply each side by 2

5+sy = 4*2

5+sy = 8

Subtract 5

sy = 3

The end point is

(4,3)