Question

WILL GIVE 5 STARS

Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.

Answer 1

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=
`(3)/(2)` x+1 so here the slope is
`(3)/(2)`

4x+6y=14 so subtract 4x and then divide by 6 to isolate y

6y= -4x+14

y=
`(-4)/(6)` x +
`(14)/(6)` symplify

y=
`(-2)/(3)` x +
`(7)/(3)` so the slope here is
`(-2)/(3)`

So if you compare the slopes you can see that are negative reciprocal of eachother so the lines are perpendicular

and so on...