14 Dec '07 02:291 edit

Lets say you have a circle on the cartisian graph

Ill use the numbers I'm toying with now

circle eqtn: (x-2)^2 + (y+1)^2 = 9

I would like to draw a rough sketch of it, but with more than 4 points.

the degree of accuracy depends on the amount of points found

the only way I can think to find more points is to pass a lines through the circle. each line should create two more points of contact.

I passed a line through the point (2,-1) the circles center. i figured the only way to achieve these new points was to randomly change the slope of the line

i used the equation: 5y-2x=1 (picking a random slope)

Now i am currently attempting to solve the system:

5y -2x = 1

(y+1)^2 + (x-2)^2 = 9

except I have been unsuccesful in finding the solutions. I looked through my text, but have found nothing on this particular type of system.

can someone here help me out?

Ill use the numbers I'm toying with now

circle eqtn: (x-2)^2 + (y+1)^2 = 9

I would like to draw a rough sketch of it, but with more than 4 points.

the degree of accuracy depends on the amount of points found

the only way I can think to find more points is to pass a lines through the circle. each line should create two more points of contact.

I passed a line through the point (2,-1) the circles center. i figured the only way to achieve these new points was to randomly change the slope of the line

i used the equation: 5y-2x=1 (picking a random slope)

Now i am currently attempting to solve the system:

5y -2x = 1

(y+1)^2 + (x-2)^2 = 9

except I have been unsuccesful in finding the solutions. I looked through my text, but have found nothing on this particular type of system.

can someone here help me out?