Find the equation of the line perpendicular to x–axis and having intercept – 2 on x–axis.
Given, A line which is perpendicular to x–axis and having intercept – 2.
To Find: The equation of the line.
Formula used: The equation of line is [y – y1 = m(x – x1)]
Explanation: Here, The line is perpendicular to the x–axis, then x is 0 and y is – 1.
So, The slope of line is, m =
m =
Since, 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)
By putting the values, we get
y – 0 = (x – (– 2))
x + 2 = 0
Hence, The equation of line is x + 2 = 0