Answer:
Step-by-step explanation:
to know:
-to be paralel the lines have to have the same slope
-to be perpendicular the slope has to be negative invers of thhe other
-to be neither has to be none of the above two
equation to compare to is
y=mx+b where m is the slope
if your equation does not have this form make it have this form
2y=3x+1 so divide by 2
y=[tex]\frac{3}{2}[/tex] x+1 so here the slope is [tex]\frac{3}{2}[/tex]
4x+6y=14 so subtract 4x and then divide by 6 to isolate y
6y= -4x+14
y=[tex]\frac{-4}{6}[/tex] x + [tex]\frac{14}{6}[/tex] symplify
y=[tex]\frac{-2}{3}[/tex] x + [tex]\frac{7}{3}[/tex] so the slope here is [tex]\frac{-2}{3}[/tex]
So if you compare the slopes you can see that are negative reciprocal of eachother so the lines are perpendicular
and so on...
