Answer:
-6/7
Step-by-step explanation:
The formula for calculating slope is (y2 - y1)/(x2 - x1)
If we plug in these values, then it would be (-3 - 4)/(1 - 7)
If you do the work in parentheses, it would then be -7/-6
Negative divided by negative is positive so it is 7/6
Perpendicular lines have negative reciprocal slopes so -6/7