Which of these ordered triples indicates where the plane cuts the z-axis for this equation 7x plus 2y plus 3z equals 42?

7x + 2y + 3z = 42

At the z-axis, 'x' and 'y' are both zero.

0 + 0 + 3z = 42

z = 14

The coordinates of the z-intercept (the 'ordered triple') are (0, 0, 14)