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

Asked by Aaryan | 1 year ago |  82

##### Solution :-

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

By using the formula,

The equation of line: [y – y1 = m(x – x1)]

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 (x1, y1) = (–2, 0)

The equation of line = y – y1 = m(x – x1)

Now, substitute the values, we get

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

x + 2 = 0

The equation of line is x + 2 = 0

Answered by Aaryan | 1 year ago

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