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A is at (-2, 1) and B is at (4, -1).

P is a point on y-axis which is equidistant from A and B.
What are the coordinates of P?

User TManhente
by
7.7k points

1 Answer

7 votes

Answer:

The coordinates of P are (1,0)

Explanation:

Midpoint

The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:


\displaystyle x_m=(x_1+x_2)/(2)


\displaystyle y_m=(y_1+y_2)/(2)

We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).

Calculate the midpoint:


\displaystyle x_m=(-2+4)/(2)=1


\displaystyle y_m=(1-1)/(2)=0

Thus, the coordinates of P are (1,0)

Note the midpoint does not lie on the y-axis but on the x-axis.

User RafalS
by
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