Question 987389
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Parallel line:
Slope will be same as given line (m=1/4)
Using slope-intercept form:
y=mx+b
y=(1/4)x+b Substitute values of given point (8,-1) to get b.
-1=(1/4)8+b
-1=2+b
-3=b
ANSWER 1: Equation of the parallel line through the given point: 
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y=(1/4)x-3
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Perpendicular line:
Slope will be negative reciprocal of first slope (m=-4/1)
Using slope-intercept form:
y=mx+b
y=-4x+b Substitute values of given point (8,-1) to get b.
-1=-4(8)+b
-1=-32+b
31=b
ANSWER 2: Equation of perpendicular line through given point:
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y=-4x+31