30 points available
write the equation of a circle with endpoints of the diameter at (4, -3) and (-2, 5).
show your work for credit.

Find the center, which is the midpoint of the two endpoints given.

(x1 +x2)/2 , (y1 +y2)/2

(4-2)/2 , (-3+5)/2

2/2 , 2/2

Midpoint = (1,1)

Find the radius, which is the distance from the center to an end point.

√(x2-x1)^2 +(y2-y1)^2

√(4-1)^2 + (-3-1)^2

√(3^2 + -4^2)

√9+16

√25

r = 5

The equation for a circle is written as (x-h)^2 + (y-k)^2 = r^2

h and k are the center points.

Replace the letters with their values to get:

(x-1)^2 + (y-1)^2 =25

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: