Respuesta :

MathPhys

Answer:

Neither

Step-by-step explanation:

The slope of a line is the change in y over change in x:

m = (y₂ − y₁) / (x₂ − x₁)

For Line 1:

m = (-1 − 3) / (4 − 2)

m = -2

For Line 2:

m = (5 − 3) / (8 − 6)

m = 1

If the slopes are equal, the lines are parallel.

If the slopes multiply to -1, the lines are perpendicular.

Otherwise, the lines are neither parallel nor perpendicular.

Here, the slopes are different and do not multiply to -1.  So the lines are neither parallel nor perpendicular.

PoeticAesthetics

Let's find the slope of line 1

Finding the slope using two points:

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =-1\\y_{1} =3\\x_{2} =4\\x_{1} =2[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{-1 - 3}{4 - 2}[/tex]

[tex]\frac{-4}{2}[/tex]

-2

^^^This is your slope for line 1

Let's find the slope of line 2

In this case...

[tex]y_{2} =5\\y_{1} =3\\x_{2} =8\\x_{1} =6[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{5-3}{8-6}[/tex]

[tex]\frac{2}{2}[/tex]

1

^^^This is your slope of line 2

Parallel lines have the same slope. Perpendicular lines have the slope of opposite reciprocal. In this case neither of these are applicable so the answer is...

neither!

Hope this helped!

~Just a girl in love with Shawn Mendes

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