Question

Pleaseee if you know this can you please answer I’m struggling really bad

Answer 1

`L_(1)` ⊥
`L_(2)` ;
`L_(3)` ⊥
`L_(2)` ;
`L_(1)` ║
`L_(3)`

Explanation:

(
`x_(1)` ,
`y_(1)` )

(
`x_(2)` ,
`y_(2)` )

m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

y = mx + b

"m" is slope

"b" is y-intercept (coordinates are (0, b)

Parallel lines have the same slopes and different y-intercepts.

Slopes of perpendicular lines are opposite reciprocals:
`m_(1)` ×
`m_(2)` = - 1

~~~~~~~~~~~~~~~~~~~~~~

`L_(1)` : y = x + 5 ,
`m_{L_(1) }` = 1 , b = 5

`L_(2)` : y = - x + 7 ,
`m_{L_(2) }` = - 1 , b = 7

`L_(1)` ⊥
`L_(2)`

`L_(3)` :
`m_{L_(3) }` = 1 , b = - 2

`L_(1)` ║
`L_(3)` and
`L_(2)` ⊥
`L_(3)`