Intercepts of $$$\left(x + 4\right)^{2} + \left(y - 9\right)^{2} = 25$$$
Your Input
Find find the x- and y-intercepts of $$$\left(x + 4\right)^{2} + \left(y - 9\right)^{2} = 25$$$.
Solution
To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$\left(x + 4\right)^{2} + 81 = 25$$$ for $$$x$$$ (use the equation solver).
To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$\left(y - 9\right)^{2} + 16 = 25$$$ for $$$y$$$ (use the equation solver).
Answer
No x-intercepts.
y-intercepts: $$$\left(0, 6\right)$$$, $$$\left(0, 12\right)$$$.
Graph: see the graphing calculator.
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