"step-1 : draw the line "y=3/8 x+5
![enter image source here]()
"step-2 : locate "P_1 " and "P_2
![enter image source here]()
"step -3 : draw a line segment between " P_1 and " P_2
![enter image source here]()
"step-4 : find the middle point of line segment"
![enter image source here]()
P_x=(7+5)/2=6
P_y=(3+1)/2=2
P=(6,2)
"step-5 : draw a line perpendicular to line segment and passing through P"
![enter image source here]()
"the red line's slope : "m_("red")
"segment's slope : "m_("segment")
m_("segment")*m_("red")=-1
1*m_("red")=-1
m_("red")=-1
y-2=-1(x-6)
y-2=-x+6
color(red)(y+x=8)" the red line equation"
"step-6 : now find the coordinate of center of circle (O)"
![enter image source here]()
"use the two equation :"
y=3/8 x+5
x+y=8
x+3/8 x+5=8
(11x)/8=8-5
11x=24
x=24/11=2.18
2.18+y=8
y=8-2.18=5.82
O=(2.18,5.82)
"step-7 : find distance between O and " P_1" (r)"
r^2=6-2.18)^2+(2-5.82)^2)
r^2=10.24+14.59=31.16
"step-8 : write equation"
![enter image source here]()
(x-a)^2+(y-b)^2=r^2
(a,b)" center coordinates"
(x-2.18)^2+(y-5.82)^2=31.16
