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Question -

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



Answer -

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

By using the formula,

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

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

The slope of line is,m = y/x

= -1/0

It is given thatx–intercept is –2, so, y is 0.

Coordinates of lineare (x1, y1) = (–2, 0)

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

Now, substitute thevalues, we get

y – 0= (-1/0) (x – (– 2))

x + 2 = 0

The equation of lineis x + 2 = 0

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