How do you find the intercepts of x^2y-x^2+4y=0x2yx2+4y=0?

2 Answers
Mar 24, 2015

For the intercepts you set alternately x=0x=0 and y=0y=0 in your function:
enter image source here
and graphically:
enter image source here

Mar 24, 2015

On the X-axis y=0y=0
So
x^2y -x^2 + 4y = 0x2yx2+4y=0
becomes
x^2(0) - x^2 + 4(0) = 0x2(0)x2+4(0)=0
rarr -x^2 = 0x2=0
rarr x = 0x=0

On the Y-axis x=0x=0
and the original equation
x^2y -x^2 + 4y = 0x2yx2+4y=0
becomes
(0)^2y -(0)^2 +4y = 0(0)2y(0)2+4y=0
rarr y=0y=0

The only intercept for the given equation occurs at (0,0)(0,0)