Final answer:
The slope of a line that is perpendicular to the given line y=-(1/4)x-9 is 4.
Step-by-step explanation:
To find the slope of a line that is perpendicular to another, you need to know the slope of the given line. In a linear equation of the form y=mx+c, 'm' represents the slope. In your equation, y = -(1/4)x - 9, the slope of the given line is -(1/4).
However, for a line to be perpendicular to another, its slope is the negative reciprocal of the other line's slope. The negative reciprocal of -(1/4) is obtained by flipping the fraction and changing its sign, so the negative reciprocal of -(1/4) is 4.
So, the slope of the line that is perpendicular to your given line y=-(1/4)x-9 is 4.
Learn more about Perpendicular Slopes