Could a line through the origin perpendicular to a line through the origin with slope 1 / 2 pass through the point
(−1,4)? Explain how you know.

Respuesta :

Answer:

  no

Step-by-step explanation:

The perpendicular line will have slope ...

  m = -1/(1/2) = -2

Since it goes through the origin, its equation is ...

  y = -2x

For x = -1, this is ...

  y = 2(-1) = -2

The line will go through the point (-1, 2), but not (-1, 4). (See attached)

Ver imagen sqdancefan