Respuesta :

Answer:

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Substitution

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

Simplification and result

slope = [tex]\frac{-2}{5}[/tex]

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.