Answer:
The slope of Line q is -7/8.
Step-by-step explanation:
Remember that for two lines to be parallel, their two slopes must be equivalent.
We are given that the equation of Line p is:
[tex]\displaystyle y=-\frac{7}{8}x+\frac{3}{2}[/tex]
So, the slope of Line p is -7/8.
Line p is parallel to Line q. Therefore, the two lines have the same slope.
Hence, the slope of Line q must also be -7/8.