Final answer:
The slope of the line is Negative fraction 2 over 3.
Step-by-step explanation:
The slope of a line indicates how steep it is and whether it is going up or down. A negative slope means the line is moving downwards from left to right, while a positive slope means it is moving upwards.
In this case, the given options are: Option 1: -2/3, Option 2: Negative fraction 2 over 3, Option 3: 2 over 3, and Option 4: -3/2.
Based on the description of the line with a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis, the correct option would be Option 2: Negative fraction 2 over 3.