Find equation of the plane that passes through a given point and is perpen. to

[Kawrider0133]

Find equation of the plane that passes through a given point and is perpen. to...

Point: (2,3,-5)
Perpendicular to the line: x = -1 - t, y = 4 + 3t, z = 4t

I've looked up many examples to similar problems but i just can't get the right answer to this one. Please Help!

 

[Mark44]

Point: (2,3,-5)
Perpendicular to the line: x = -1 - t, y = 4 + 3t, z = 4t

I've looked up many examples to similar problems but i just can't get the right answer to this one. Please Help!

The direction of the line is perpendicular to the plane, so the direction of the line is parallel to the plane's normal.

Do you know how to find a vector in the direction of a given line?
Do you know how to find the equation of a plane given a point on the plane and the normal?