Q. 23.8( 21 Votes )

# Find the equation of the line perpendicular to x–axis and having intercept – 2 on x–axis.

Answer :

Given, A line which is perpendicular to x–axis and having intercept – 2.

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 perpendicular to the x–axis, then x is 0 and y is – 1.

So, The slope of line is, m =

m =

Since, It is given that x–intercept is – 2, so, y is 0.

Coordinates of line are (x_{1}, y_{1}) = (– 2, 0)

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

By putting the values, we get

y – 0 = (x – (– 2))

x + 2 = 0

Hence, The equation of line is x + 2 = 0

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