Question

Which of these ordered triples indicates where the plane cuts the x-axis for this equation? 3x + 4y + 6z = 12

(4, 0, 0)
(4, 3, 2)
(0, 3, 0)
(0, 0, 2)

Answer 1

Option A is correct.

Explanation:

Given equation is 3x + 4y + 6z = 12

We have to find ordered triplet which indicate where the plane cuts the x-axis.

To find x-coordinate where plane cuts the x-axis we put y and z equal to 0.

3x + 4 × 0 + 6 × 0 = 12

3x + 0 + 0 = 12

3x = 12

x = 4

So, the coordinate where it cuts x-axis is ( 4 , 0 , 0 )

Therefore, Option A is correct.