Answers:
12. Perpendicular, 14. Parallel
Step-by-step explanation:
12. Perpendicular - if you check the slope of both lines you'll find they are exactly the same except line 1 has a negative slope and line 2 is positive.
Slope is Rise (different in y values) over the Run (difference in the x values)
Line 1 Rise - the difference between 0 and -2 is -2
Run - the difference between -5 and -3 is also 2
Slope is 2/2 and since the line slants down to the right, it is negative
Line 2 Rise - the difference between 2 and 4 is 2
Run - the difference between -2 and 0 is also 2
Slope is 2/2 and since the line slants up and to the right it is positive
Two lines that have equal slopes but opposite +/- values are perpendicular
14. Parallel
If you look at the Y values on line 1, the numbers are the same ( 2 )
Line 2 also has the same Y values ( 1 )
So both lines are flat traveling straight across above the x axis. One line is at 1 and the other is at 2 so they will never meet and or intersect.
