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:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).
Calculate the midpoint:
[tex]\displaystyle x_m=\frac{-2+4}{2}=1[/tex]
[tex]\displaystyle y_m=\frac{1-1}{2}=0[/tex]
Thus, the coordinates of P are (1,0)
Note the midpoint does not lie on the y-axis but on the x-axis.
