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

By using the formula,

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

We know that, the line is perpendicular to the x–axis, then x is 0 and y is –1.

The slope of line is, m = \( \dfrac{y}{x}\)

= \( \dfrac{-1}{0}\)

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})

Now, substitute the values, we get

y – 0 = (\( \dfrac{-1}{0}\)) (x – (– 2))

x + 2 = 0

The equation of line is x + 2 = 0

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