Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.

Question:

Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.

Solution:

The equation of the plane ZOX is

y = 0

Any plane parallel to it is of the form, y = a

Since the y-intercept of the plane is 3,

∴ = 3

Thus, the equation of the required plane is y = 3

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