If the equation xy=12 was graphed, where would the graph cross.
A. The y-axis?
B. The x-axis?
Please help
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.
Thanks
To determine where the graph of the equation xy=12 would cross, you need to find the points where the graph intersects the x-axis and y-axis.
To find the point where the graph crosses the y-axis, you need to set the value of x to zero and solve for y. Substituting x=0 into the equation xy=12, we have (0)y=12, which simplifies to 0=12. Since this equation is not true, it means that the graph does not cross the y-axis.
To find the point where the graph crosses the x-axis, you need to set the value of y to zero and solve for x. Substituting y=0 into the equation xy=12, we have x(0)=12, which simplifies to 0=12. Again, this equation is not true, indicating that the graph does not cross the x-axis either.
Therefore, the graph of the equation xy=12 does not intersect either the x-axis or the y-axis. In this case, the answer would be:
C. The graph does not cross either the x-axis or the y-axis.