Find the equation of the plane which has intercepts of (4,0,0) and (0,−2,0) and no z-intercept.

The equation of the plane which has intercepts of (4, 0, 0) and (0, -2, 0) and no z-intercept is .

A plane is represented by the following expression:

(1)

Where are real coefficients.

We need three distinct points to determine all coefficients of the plane. If we know that , and , then we have the following system of linear equations:

(2)

(3)

(4)

Then, the solution of this system is , and .

And the equation of the plane which has intercepts of (4, 0, 0) and (0, -2, 0) and no z-intercept is .

We kindly invite to check this question of planes: link

1/4 because there is 4 grades.

step-by-step explanation: