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

Given, A line which is parallel to x–axis and having intercept – 2 on y – axis.

To Find: The equation of the line.

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

Explanation Here, The line is parallel to the x–axis,

So, The parallel lines have equal slopes,

And, the slope of x–axis is always 0, then

The slope of line, m = 0

Since, It is given that intercept is – 2, on y – axis then

Coordinates of line are (x1, y1) = (0, – 2)

The equation of line is y – y1 = m(x – x1) – – – – (1)

By putting the values in equation (1), we get

y – (– 2) = 0 (x – 0)

y + 2 = 0

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

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