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

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

GIVEN-
Given line - 3x – 4y – 12 = 0
TO FIND-
True statement from the given options.
SOLUTION-
We substitute x = 0 and y = 0 in the given equation to find the value of x-intercept and y-intercept, respectively.
For y-intercept-
3x – 4y – 12 = 0 ............... (given)
∴ 3 (0) - 4y - 12 = 0
∴           -4y - 12 = 0
∴                  -4y = 0 + 12 .......... (Adding 12 both the sides)
∴                  -4y = 12
∴                    y = -12/4 ............. (Dividing both sides by -4)
∴                    y = -3

For x-intercept-
3x – 4y – 12 = 0 ............... (given)
∴ 3x - 4 (0) - 12 = 0
∴       3x - 0 - 12 = 0
∴                   3x = 0 + 12 .......... (Adding 12 both the sides)
∴                   3x = 12
∴                     y = 12/3 ............. (Dividing both sides by 3)
∴                     y = 4
FINAL ANSWER-
Option 'd' i.e. 'The x-intercept is 4, and the y-intercept is –3' is the correct answer to the given question.