SOLUTION: Determine whether the two lines are parallel, perpendicular, or neither; 3y+21=2x 2y=16-3x  

Algebra ->  Graphs -> SOLUTION: Determine whether the two lines are parallel, perpendicular, or neither; 3y+21=2x 2y=16-3x         Log On


   

Question 364540: Determine whether the two lines are parallel, perpendicular, or neither;
3y+21=2x
2y=16-3x
 
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3y%2B21=2x
3y=2x-21
y%5B1%5D=%282%2F3%29x-7
.
.
2y=16-3x
y%5B2%5D=-%283%2F2%29x%2B8
The lines are not parallel since the slope need to be identical.
For the lines to be perpendicular, the slopes must be negative reciprocals,
m%5B1%5D%2Am%5B2%5D=-1
%282%2F3%29%28-%283%2F2%29%29=-1
-1=-1
The lines are perpendicular.
.
.
graph%28300%2C300%2C-2%2C10%2C-8%2C4%2C0%2C%282%2F3%29x-7%2C-%283%2F2%29x%2B8%29