SOLUTION: line p has a slope of -1/4. what is the slope of a line parallel to line p? what is the slope of a line perpendicular to p?

Question 894143: line p has a slope of -1/4. what is the slope of a line parallel to line p? what is the slope of a line perpendicular to p?
Found 2 solutions by Theo, Fombitz:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if the line is parallel to another line, then it has a slope that is the same as the slope of the other line.

if the line is perpendicular to another line, then it has a slope that is a negative reciprocal of the slope of the other line.

the slope of line p is equal to -1/4.

the slope of a line parallel to line p will be equal to -1/4.
the y-intercept has to be different.
otherwise the lines will be identical.
identical lines look like the same line on the graph.

the slope of a line perpendicular to line p will be equal to 4.
the negative of -1/4 is 1/4.
the reciprocal of 1/4 is 4.

here's 3 lines.
2 of them are parallel.
the third is perpendicular.
the first line is y = -1/4*x + 5
the second line is y = -1/4*x + 2
these lines will be parallel.
the third line is y = 4x - 5
this line will be perpendicular to the other 2 lines.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Parallel lines have identical slopes.

.
.
.
Perpendicular lines have slopes that are negative reciprocals.

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