Question

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

Answer 1

Answer:

$L_{1}$ ⊥ $L_{2}$ ; $L_{3}$ ⊥ $L_{2}$ ; $L_{1}$ ║ $L_{3}$

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

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 $L_{2}$ ⊥ $L_{3}$