Question

describe a line with a slope of $-\frac{3}{2}$.
the line is decreasing and rises three units for every two units right.
the line is decreasing and falls three units for every two units right.
the line is increasing and falls three units for every two units right.
the line is increasing and rises three units for every two units right.

Explanation:

1. Recall the concept of slope: The slope \( m=\frac{\text{rise}}{\text{run}} \). A negative slope means the line is decreasing (as \( x \) increases, \( y \) decreases).
2. For a slope of \( -\frac{3}{2} \), the "rise" is - 3 (which means a fall of 3 units) and the "run" is 2 (which means moving 2 units to the right). So as we move 2 units to the right, the line falls 3 units, and since the slope is negative, the line is decreasing.

Answer:

B. The line is decreasing and falls three units for every two units right.