Thread: What steps must I take to graph equations such as y=y/2+1

So I was wondering how do I solve equations where for example it is in the form y=y/2+x where instead of being in the standard form y=mx+b we have something where y = my + nx + b (where in the example I gave m = 1/2 n = 1 and b = 0). What steps should I take to figure out how to graph this? According the graphing application I am using (Grapher) the slope appears to be 2 but, how do I figure this stuff out?

Also, to further this what if I wanted to graph the equation:
y=ay^2 + ax^2 + my + nx + b?

What should I look into to do this?

Originally Posted by thyrgle

So I was wondering how do I solve equations where for example it is in the form y=y/2+x where instead of being in the standard form y=mx+b we have something where y = my + nx + b (where in the example I gave m = 1/2 n = 1 and b = 0). What steps should I take to figure out how to graph this? According the graphing application I am using (Grapher) the slope appears to be 2 but, how do I figure this stuff out?

Solve the equation
for y:

Also, to further this what if I wanted to graph the equation:
y=ay^2 + ax^2 + my + nx + b?

What should I look into to do this?

The graph of the 2nd equation is a circle. To draw a circle you need to know the coordinates of the center and the length of the radius:







Now complete the squares:





So the center is at and