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