Question

The midpoint of a line segment with end points as (x, 4) and (-2, -2) is (2, 1). What is the value of x?

(A)x = 6

(B)x = 4

(C)x = -3

(D)x = -2

Answer 1

I think (D) is the answer

Answer 2

think again ?

Answer 3

wouldn't you use the midpoint formula

Answer 4

\[midpoint =\dfrac{(x_1+x_2)}{2},\dfrac{(y_1+y_2)}{2}\]

Answer 5

yes !

Answer 6

okay

Answer 7

substitute it here and solve :

\[\large \dfrac{x-2}{2}=2 \]

Answer 8

oh okay that is where I messed up

Answer 9

:)

Answer 10

thank you

Answer 11

yw :)