Q. 14.4( 7 Votes )

# Find the equation of the parallel to x–axis and passing through (3, – 5).

Answer :

Given, A line which is parallel to x–axis and passing through (3, – 5)

To Find: The equation of the line.

**Formula used:** The equation of line is [y – y_{1} = m(x – x_{1})]

Explanation: Here, The line is parallel to the x–axis,

So, The parallel lines have equal slopes,

And, the slope of x–axis is always 0, then

The slope of line, m = 0

Coordinates of line are (x_{1}, y_{1}) = (3, – 5)

The equation of line = y – y_{1} = m(x – x_{1})

By putting the values, we get

y – (– 5) = 0(x – 3)

y + 5 = 0

Hence, The equation of line is y + 5 = 0

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