Question

The graph of y = –2/x lies in ____.A. Quadrant I and IIIB. Quadrant I and IIC. Quadrant II and IVD. Quadrant III and IV

Answer 1

In order to find the quadrants of y = -2/x, let's choose a positive and a negative value of x, then we calculate the corresponding values of y and check the quadrants:

`\begin{gathered} x=-2\colon \\ y=-(2)/(-2)=1 \\ \\ x=2\colon \\ y=-(2)/(2)=-1 \end{gathered}`

The point (-2, 1) is in quadrant II (negative x and positive y) and the point (2, -1) is in quadrant IV (positive x and negative y).

Therefore the correct option is C.