Question

If the equation xy=12 was graphed, where would the graph cross.
A. The y-axis?
B. The x-axis?

Please help

Answer 1

Usually, you would input x as 0 (to find intersection on the y-axis) and y as 0 (to find intersection on the x-axis)

However, the graph of xy = 12 is a rectangular hyperbola. It does not meet either of the co-ordinate axes.

Numerically,

When x = 0,
0*y = 12
=> 0 = 12
But we know this is not true, hence there are no solutions for x=0. Similarly, there are no solutions for y=0.

Answer 2

Thanks