Final answer:
A line with a slope of 3/-2 slopes downward, left to right, which is a negative slope, as it moves downwards as you look from left to right.
Step-by-step explanation:
The correct answer is d. downward, left to right.
Here's why:
Slope represents the rise over run of a line. A positive slope tells us that the line goes upward as we move from left to right. Conversely, a negative slope indicates that the line goes downward as we move from left to right.
In this case, the slope is -3/2, which is clearly negative. Therefore, the line will slope downward as we move from left to right.
So, option d is the only choice that correctly describes the direction of a line with a slope of -3/2.
Option a (vertical) would be true if the slope were undefined (infinite), which is not the case here.
Option b (horizontal) applies to lines with a slope of 0, not -3/2.
Option c (upward, left to right) contradicts the explanation above, as a negative slope signifies a downward path.