Question

Find an equation of a plane containing the line r=⟨−5,−1,−1⟩+t⟨−6,10,−5⟩r=⟨−5,−1,−1⟩+t⟨−6,10,−5⟩ which is parallel to the plane 5x+4y+2z=−265x+4y+2z=−26

Answer 1

Put the coordinates of the point in for x, y, and z and see what the new constant is.

Your plane is
  5x +4y +2z = -31