Question

Find the midpoint of R(2,2) and S(-3,6)

Answer 1

Answer: (-0.5, 4)

Explanation:

Midpoint formula:
`((x1+x2)/(2) ,(y1+y2)/(2) )`

(x1, x2)=(2, -3)

(y1, y2)=(2, 6)

-----------------------------------------------

`((x1+x2)/(2) ,(y1+y2)/(2) )`

=
`((2-3)/(2) ,(2+6)/(2) )`

=
`((-1)/(2) ,(8)/(2) )`

=
`(-0.5, 4)`

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Answer 2

`M=(-(1)/(2),4)`

Explanation:

The midpoint formula is given by:

`M=((x_1+x_2)/(2),(y_1+y_2)/(2))`

Let (2,2) be x₁ and y₁ and let (-3,6) be x₂ and y₂. Therefore:

`M=((2+-3)/(2),(2+6)/(2))`

Simplify:

`M=(-(1)/(2),(8)/(2))\\M=(-(1)/(2),4)`