Question

Graph this equation of a circle?I'm stuck and I don't know how to approach this math problem.

Answer 1

First use the distance formula to find the radius of the circle:
d=$\sqrt{ ( x_{2}- x_{1}) ^{2}+ ( y_{2}- y_{1}) ^{2} }$

d=$\sqrt{ (-1-23)^{2}+ (5--2)^{2} }$

d=$\sqrt{ (-24)^{2}+ (7)^{2} }$

d=$\sqrt{ (-24+7)^{2} }$

d=$\sqrt{ (-17)^{2} }$

d=|17|
d=17

Next, find the equation of the circle (use the first picture):
(x+1)^2+(y-5)^2=17^2

Finally, input the equation into a graphing calculator:
(2nd picture)