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Question -

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



Answer -

Given: A line which isparallel to x–axis and having intercept –2 on y – axis

By using the formula,

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

The parallel lineshave equal slopes,

And, the slope ofx–axis is always 0

Then

The slope of line, m =0

It is given thatintercept is –2, on y – axis then

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

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

Now, substitute thevalues, we get

y – (– 2) = 0 (x – 0)

y + 2 = 0

The equation of lineis y + 2 = 0

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