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)?

- x + 3y = 0
- y = 3x
- y = 3
- x = 1

Hint:

Mathematics

Grade-8

Easy

Question

- x + 3y = 0
- y = 3x
- y = 3
- x = 1

Hint:

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 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.