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Question 89929: This is from a worksheet:
Determine whether the pair of lines is parallel, perpendicular, or neither.
3x - 4y = -6 and 8x + 6y = 2
Answer by malakumar_kos@yahoo.com(315)   (Show Source):
You can put this solution on YOUR website!
Determine whether the pair of lines is parallel, perpendicular, or neither.
3x - 4y = -6 and 8x + 6y = 2
There are two conditions for determining if the lines are parallel or perpendicular
1) lines are parallel if their slopes are equal
2) lines are perpendicular ifthe product of the slopes = -1
Let us find the slopes of the given eq'ns
bring both the eq'ns to the std form i.e, y = mx+c where m = slope
3x-4y = -6 3x+6 = 4y or y = 3x/4+6/4 slope M = 3/4
8x+6y = 2 6y = -8x+2 or y = -8x/6+2/6 = -4x/3+1/3 slope m = -4/3
m - -4/3 M = 3/4 hence m.M = -4/3.3/4 = -1
since the products of the slopes are equal to -1 the lines are perpendicular
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