Intercepts of (x+4)2+(y9)2=25\left(x + 4\right)^{2} + \left(y - 9\right)^{2} = 25

The calculator will find the the x- and y-intercepts of (x+4)2+(y9)2=25\left(x + 4\right)^{2} + \left(y - 9\right)^{2} = 25, with steps shown.
Like x+2y=3, y=2x+5 or x^2+3x+4.

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Your Input

Find find the x- and y-intercepts of (x+4)2+(y9)2=25\left(x + 4\right)^{2} + \left(y - 9\right)^{2} = 25.

Solution

To find the x-intercepts, substitute y=0y = 0 into the equation and solve the resulting equation (x+4)2+81=25\left(x + 4\right)^{2} + 81 = 25 for xx (use the equation solver).

To find the y-intercepts, substitute x=0x = 0 into the equation and solve the resulting equation (y9)2+16=25\left(y - 9\right)^{2} + 16 = 25 for yy (use the equation solver).

Answer

No x-intercepts.

y-intercepts: (0,6)\left(0, 6\right), (0,12)\left(0, 12\right).

Graph: see the graphing calculator.