Mathematics
Grade-8
Easy

Question

Which of the following is the equation of a line that passes through the point (1, 3) and is parallel to the x-axis (i.e., a horizontal line)?

  1. x + 3y = 0
  2. y = 3x
  3. y = 3
  4. x = 1

Hint:

1. An equation refers to the relationship between 2 expressions represented with an equal to sign i.e. '='.
2. Equation of a line in slope point form is- (y-y1) = m (x-x1)
3. Parallel lines have equal slopes.
4. Slope of x-axis is 0.

The correct answer is: y = 3


    GIVEN-
    The given line-
    1. Passes through the point (1,3) and
    2. Is parallel to x-axis
    TO FIND-
    Equation of the line.
    SOLUTION-
    We know that the given line is parallel to x-axis and slopes of parallel lines are equal.
    ∴ Slope of the given line = m = slope of x-axis
    ∴ Slope of the given line = m = 0 .......... (Slope of x-axis is 0) .......................... (Equation i)
    Also, the given line passes through the point (1,3).
    i.e. x1 = 1 & y1 = 3
    ∴ we use the slope point formula to find the equation of the given line as-
       (y-y1) = m (x-x1)
    ∴   y - 3 = 0 (x - 1) .................................... (From equation i and given information)
    ∴   y - 3 = 0
    ∴        y = 3 ............................................... (Adding 3 on both the sides)
    Final Answer:-
    Option 'c' i.e. 'y = 3' 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.