Answer:
[tex]\frac{7}4[/tex]
Step-by-step explanation:
First, we need to find the slope, which is defined as the change in y over the change in x:
[tex]\frac{-5-(-1)}{3-(-4)} = \frac{-4}{7}[/tex]
To find a slope that's perpendicular to that, we just take the negative reciprocal of that slope, which is [tex]\frac{7}4[/tex].
I hope this helped.