Find the x and y Intercepts x^2y-x^2+4y=0

Problem

x2*y−x2+4*y=0

Solution

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

0*y−0+4*y=0

4*y=0

y=0

2. Find the x-intercept by setting y=0 in the equation.

x(0)2−x2+4*(0)=0

−x2=0

x=0

3. Identify the coordinates of the intercepts. Since both calculations result in zero, the graph passes through the origin.

Final Answer

x-intercept: *(0,0), y-intercept: *(0,0)

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