Question

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

Answer 1

Answer:

The coordinates of P are (1,0)

Step-by-step explanation:

Midpoint

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

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

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

Calculate the midpoint:

$\displaystyle x_m=\frac{-2+4}{2}=1$

$\displaystyle y_m=\frac{1-1}{2}=0$

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

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