Question

@jim_thompson5910 Challenge: Graph the equation with a diameter that has endpoints at (3, -4) and (-5, 2). Label the center and at least four points
on the circle. Write the equation of the circle.

Answer 1

Now we don't have the center, but we can find it

Answer 2

We just need to find the midpoint of the segment with endpoints of (3, -4) and (-5, 2)

Answer 3

can you set it :) @jim_thompson5910

Answer 4

you average the corresponding coordinates

Answer 5

so for the x, you add them up and divide by 2

3 + (-5) = -2

-2/2 = -1

Answer 6

The x coordinate of the midpoint is x = -1

Answer 7

how about the y coordinate?

Answer 8

-2? @jim_thompson5910

Answer 9

close, but you would divide that by 2 to get -1

Answer 10

so the midpoint is the point (-1,-1)

Answer 11

that's your center

Answer 12

whats midpoint?

Answer 13

oh ok

Answer 14

and the radius is what?

Answer 15

the distance from the center to either point

Answer 16

so how many shoul i go likee what do you suggest ? @jim_thompson5910

Answer 17

use the distance formula again

Answer 18

so let's say we want to find the distance from the center (-1,-1) to (3, -4), we would do...


d = sqrt((x2-x1)^2+(y2-y1)^2)


d = sqrt((3-(-1))^2+( -4-(-1))^2)


d = sqrt((3+1)^2+( -4+1)^2)


d = sqrt((4)^2+(-3)^2)


d = ??

Answer 19

16 +9

Answer 20

keep going

Answer 21

25=5

Answer 22

so the radius is 5

Answer 23

r = 5

r^2 = 25