14 Dec '07 02:29>1 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?