Which statement is true?

(a)if the x-intercept of a line is given by (0, b), b can never equal zero.
(b)a line of x = a (where a is not zero) cannot have a y-intercept.
(c)if the y-intercept of a line is given by (a, 0), a can never equal zero.
(d)a line with a zero slope cannot have a y-intercept.

Out of all the other statements, this statement is true: "A line of x = a (where a is not zero) cannot have a y-interception"

Option B. would be the correct answer.

If the line is x = a, then it is perfectly a vertical line, crossing the x-axis at a, but would be unlikely to cross the y-axis. It runs parallel to the y-axis, so there would be no y-interception.