Determine whether equations are parallel, perpendicular, or neither

Question

Line 1 :y= -5/2x

line 2 : 5y= 2

line 3: y=-5/2

 

Answer 1

Just as an add-on to Scott's comment,  a line is perpendicular to another line if one slope is the negative reciprocal of the other (if one slope is m, the other would be -1/m)

Answer 2

So keep in mind two things: The general equation of a line: Y = mX + b

Where "m" is the slope. In these cases b=0.

 

 

The other thing is that parallel lines will have the same slope whether negative or positive, whereas perpendicular lines will have reciprocal slopes (IE one will have slope m, the other will have slope 1/m). Given this, can you figure out the answers?