Mathematics
Grade-8
Easy

Question

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

  1. The x-intercept is 3, and the y-intercept is –4.
  2. The x-intercept is 3, and the y-intercept is 4
  3. The x-intercept is 4, and the y-intercept is –3.
  4. The x-intercept is 4, and the y-intercept is 3

hintHint:

For any given line,
its x-intercept is a point where y-coordinate = 0 and
its y-intercept is a point where x-coordinate = 0

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.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.