The slope of line B which is perpendicular to line A is 1/4.
We have given that the slope of the lineA is -4.
We have to determine the slope of line B.
The slopes of two perpendicular lines are negative reciprocals of each other. That means when a line is perpendicular to a line that has a slope m, then the slope of the line is -1 / m.
Here we have to find the negative reciprocal of the line A.
Therefore m=-4
The slope of lineB=Negative reciprocal=-1/m
Therefore the slope of line B=-1/-4
The slope of line B=1/4
Therefore the slope of line B which is perpendicular to line A is 1/4.
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