Find an equation of a plane containing the point P(2, -1, 1) and the x-axis.
A) $y + z = 0$
B) $x - y = 3$
C) $x = 2$
D) $x - 2 z = 0$
E) $y - z = 0$
F) $x + 2 y = 0$
G) $z = 1$
H) $z = - 1$

Question

Find an equation of a plane containing the point P(2, -1, 1) and the x-axis.
A) $y + z = 0$ 
B) $x - y = 3$ 
C) $x = 2$ 
D) $x - 2 z = 0$ 
E) $y - z = 0$ 
F) $x + 2 y = 0$ 
G) $z = 1$ 
H) $z = - 1$

Quizplus · Accepted Answer

A plane containing the x-axis and a point P(2, -1, 1) must be invariant in the x-direction and only vary with y and z. The equation $y + z = 0$ satisfies this condition, as it does not involve x, meaning any point on the x-axis (where y and z are zero) will satisfy the equation, as will the point P(2, -1, 1).

Find an Equation of a Plane Containing the Point P(2 y+z=0y + z = 0y+z=0

Find an Equation of a Plane Containing the Point P(2 $y + z = 0$