SOLUTION: Determine whether the lines 5y = 4x + 10 and 4y = -5x + 4 are parallel, perpendicular or neither

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Question 313374: Determine whether the lines 5y = 4x + 10 and 4y = -5x + 4 are parallel, perpendicular or neither
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Put both lines in slope-intercept form, y=mx%2Bb
5y=4x%2B10
y=%284%2F5%29x%2B2
.
.
.
4y=-5x%2B4
y=-%285%2F4%29x%2B1
Parallel lines have identical slopes, which is not the case here.
Perpendicular line have slopes that are negative reciprocals.
m1%2Am2=-1
%284%2F5%29%28-%285%2F4%29%29=-1
The lines are perpendicular.
+graph%28+300%2C300%2C+-5%2C+5%2C+-5%2C+5%2C+%284%2F5%29x%2B2%2C+-%285%2F4%29x%2B1%29+