Let’s analyze the two mathematical problems you provided in the images.

First Image Analysis

The problem is about the general form of the equation $xy = k$.
This describes a rectangular hyperbola, where $x$ and $y$ are variables, and $k$ is a constant.

• Solution Description:
  The graph of $xy = k$ is symmetric about the axes. For positive $k$, the hyperbola is in the first and third quadrants. For negative $k$, the hyperbola is in the second and fourth quadrants.

• General Notes:
  The rectangular hyperbola is given by:
  $y = \frac{k}{x},$
  where $k \neq 0$.
  It asymptotically approaches the ( x \