What is the slope of a line perpendicular to the line of y=-1/4x-1

Answer: 4

The given line has a slope of - 1/4 as this is the number in front of the x. The general equation y = mx+b has m as the slope. So m = - 1/4 is given

Flip the sign to get - 1/4 turn into + 1/4 or just 1/4

Then flip the fraction (aka reciprocal) to go from 1/4 to 4/1 and that simplifies to 4.

Multiplying the original slope (-1/4) and the perpendicular slope (4) will result in - 1.