Question 1177428
<pre><font face = "consolas" color = "indigo" size = 3><b>
Hi
Reply Previously Posted 
 A(1,-3) and 
 B(-3,5) Midpoint is P(-1, 1)  and m = -8/4 = -2 (Line segment AB)


the equation of the perpendicular bisector:
 y - 1 = (1/2)(x + 1)
  y = (1/2)x + 3/2 Green

 y = x - 2 Blue
 P(7,5) is the same distance from P(A)  and P(B)
D = {{{ sqrt ( (x[1]-x[2])^2+ (y[1]-y[2])^2 ) }}}
  AP = sqrt(36 + 64) = 10
Wish You the Best in your Studies.
{{{drawing(300,300,    -10,10,-10,10,  
 grid(1),
circle(0, 3/2,0.4),
circle(-1, 1,0.4),
circle(7, 5,0.4),
red(line(1,-3,7,5)),
red(line(1,-3,-3,5)),
red(line(7,5,-3,5)),
locate(7.5,5.5,P),
locate(-3.5,5,A),
locate(1,-3,B),
graph( 300, 300, -10,10,-10,10,0, (1/2)x + 3/2, x - 2))}}}

</font></b></pre>