The graph of two inversely related items extends between which corners of a standard Cartesian plane?

The graph of two inversely related items extends between which corners of a standard Cartesian plane?

• A. Lower left to Upper right
• B. Upper right to Lower left
• C. Upper left to Lower right
• D. Lower left to Lower right

Answer: (C)

An inverse relationship means as one quantity increases, the other decreases, which shows a line with negative slope on a standard Cartesian plane. A negative slope runs from the upper-left area toward the lower-right area, so the graph extends between the upper-left corner and the lower-right corner. The other possibilities don't match this orientation: a line from lower-left to upper-right has a positive slope (both variables rise together), and a line from upper-right to lower-left also has a positive slope when viewed as a single line across the plane. A horizontal line from lower-left to lower-right has zero slope, indicating no inverse relation.

An inverse relationship means as one quantity increases, the other decreases, which shows a line with negative slope on a standard Cartesian plane. A negative slope runs from the upper-left area toward the lower-right area, so the graph extends between the upper-left corner and the lower-right corner.

The other possibilities don't match this orientation: a line from lower-left to upper-right has a positive slope (both variables rise together), and a line from upper-right to lower-left also has a positive slope when viewed as a single line across the plane. A horizontal line from lower-left to lower-right has zero slope, indicating no inverse relation.