SOLUTION: Are the pair of lines parallel, perpendicular, or neither?
5x+3y=4
3x-5y=9
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Question 319062: Are the pair of lines parallel, perpendicular, or neither?
5x+3y=4
3x-5y=9
Found 2 solutions by solver91311, CharlesG2:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Put each of the equations into slope-intercept form, that is into 
form.
If the slopes are equal, then the lines are parallel.
If the slopes are negative reciprocals, that is if 
, then the lines are perpendicular.
If neither relationship holds, the lines are neither parallel or perpendicular.
John
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
Are the pair of lines parallel, perpendicular, or neither?
5x+3y=4
3x-5y=9
if lines parallel --> slopes equal
if lines perpendicular --> slopes are negative reciprocals
(for example if one slope is 1/3 the other slope would be -3)
converting to slope-intercept form of y=mx+b, where m is the slope, and b is the y-intercept (vertical-intercept or the point (0,b)
first line:
5x + 3y = 4
3y = -5x + 4
y = (-5/3)x + 4/3
second line:
3x - 5y = 9
-5y = -3x + 9
y = (3/5)x - 9/5
slopes are -5/3 on one, and 3/5 on the other, the lines are perpendicular
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