Question 91352: Line 1 is equation x - 4y = 12 and line 2 is equation 4x +y=4. Are they parallel perpendicular or neither. Answer by tutor_paul(519) (Show Source):
You can put this solution on YOUR website! First, put the equation of each line into y=mx+b form:
Line #1:
Line #2:
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You can tell the relationship between the lines by looking at their slopes:
* Parallel Lines have equal slopes.
* Perpendicular Lines have slopes which are negative reciprocals of each other.
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Since you put the given lines into y=mx+b form, you can just read off the slopes of each one, which is the "m" term:
Slope of Line #1 = 1/4
Slope of Line #2 = -4
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As you can see, the slopes are negative reciprocals of each other.
So, the lines are Perpendicular.
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Good Luck,
tutor_paul@yahoo.com
