Question

segment PR has an endpoint at (25, -5) and a midpoint of (18, -1). What is the value of the x-coordinate of the other endpoint?

Answer 1

do you know the midpoint formula?

Answer 2

\[\huge\frac{ x_1 + x2 }{ 2 } ~,~ \frac{ y_1+y_2 }{ 2 }\]

Answer 3

you already know what the midpoint is, so plug the first end point you have and equal it to the midpoint

Answer 4

I got (21.5,-3) but it was wrong, so I am just trying to figure out the right answer.

Answer 5

\[\huge\frac{ 25+x }{ 2 } = 18 \]

Answer 6

You are given the midpoint, and one of the end points.

Answer 7

solve for x

Answer 8

x=11

Answer 9

From 25 to 18 is 7 units to the left. To get to the other end, go 7 more units to the left. 18-7=11.

Answer 10

that's correct

Answer 11

You are asked to find the other endpoint .
So plug in your given values into the midpoint formula:
midpoint: (18,-1)
Endpoint: (25,-5)
You need to find the other x value so:
\[\huge \frac{ x_1+x_2 }{ 2} = midpoint~coordinate~for~x\]
\[\huge \frac{ 25 + x }{ 2 } = 18\]
and go from there,

Answer 12

Thank you!