Explanation:
For two lines to be parallel they must have the same slope that is,M1=M2
For two lines to be perpendicular the slope of one must be the negative reciprocal of the other
Let's first find the slope of all three lines.
For line 1
6x-6=10y
2/5x-2/5=y
slope=2/5
For like 2
slope=5/3
For line 3
y=5/3x+2/3
We can therefore say that:
line 1 and line2 are neither parallel nor perpendicular
line 1 and line 3:
neither parallel nor perpendicular
line 2and line 3:
parallel lines