Question

One endpoint of a line segment is `(-6, 4)`, and the midpoint of the segment is `(-2,7)`. What are the coordinates of the other endpoint?

Answer 1

The other point `->(x,y)=(2,10)`

Explanation:

The mid point may be determined by calculation mean values.

`color(blue)("For "x)`

Left to mid `-6" to "-2` so you move to the right by 4
thus the end point is mid+4`->-2+4=+2`

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`color(blue)("For "y)`

Lowest to mid is `4" to "7` so you move up by 3
thus the end point is mid+3`->7+3=10`
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`color(blue)("Putting it all together")`

The other point `->(x,y)=(2,10)`