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?

x = 6

x = 4

x = -3

x = -2

Answer 1

the midpoint has coordinates:\[(\frac{ x _{1} + x _{2} }{ 2 }, \frac{ y _{1} + y _{2} }{ 2 })\]

So, \[2 = \frac{ x - 2 }{ 2 }\]

Answer 2

So, now just solve for x

Answer 3

To solve for x, multiply both sides of that last equation by 2. Then add 2 to both sides.

Answer 4

@tcarroll010 I got 6 on the left side

Answer 5

Very good! Good job!

Answer 6

Awesome!! Thank you very much :)! @tcarroll010

Answer 7

You're welcome!