Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The equation for a line is y=mx + b where m represents the slope
If a line is perpendicular to another line, it's slope is the negative reciprocal of the other line's slope.
The reciprocal of -4 is [tex]-\frac{1}{4}[/tex]
And the negative of that would be [tex]\frac{1}{4}[/tex]