For the line 4x – 3y – 12 = 0, which statement is true?

The correct answer is: The x-intercept is 3, and the y-intercept is –4.

GIVEN EQUATION-
4x - 3y - 12 = 0
TO FIND-
Correct statement from the given options.
SOLUTION-
To find the x-intercept of the given line, we will substitute y = 0-
4x - 3y - 12 = 0
∴ 4x - 3 (0) - 12 = 0
∴       4x - 0 -12 = 0
∴           4x - 12 = 0
∴                  4x = 12 ................................... (Adding 12 both the sides)
∴                    x = 12/4 ................................ (Dividing both sides by 4)
∴                    x = 3
∴     x-intercept = 3
To find the y-intercept of the given line, we will substitute x = 0-
4x - 3y - 12 = 0
∴ 4(0) - 3y - 12 = 0
∴      0 - 3y -12 = 0
∴         -3y - 12 = 0
∴                -3y = 12 ................................... (Adding 12 both the sides)
∴                    y = -12/3 ................................ (Dividing both sides by -3)
∴                    y = -4
∴     y-intercept = -4
FINAL ANSWER-
Option 'a' i.e. 'The x-intercept is 3, and the y-intercept is –4' is the correct answer to the given question.