Find the x and y Intercepts x^2+y^2=9

Problem

x2+y2=9

Solution

1. Find the x-intercepts by setting y=0 in the equation.

x2+0=9

2. Solve for x by taking the square root of both sides.

x2=9

x=±3

3. Find the y-intercepts by setting x=0 in the equation.

0+y2=9

4. Solve for y by taking the square root of both sides.

y2=9

y=±3

Final Answer

x-intercepts: *(3,0),(−3,0); y-intercepts: *(0,3),(0,−3)

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