EQUATION OF A LINE PERPENDICULAR TO Y AXIS
To understand the equation of a line perpendicular to y-axis, let us consider the figure given below.
In the figure above, clearly the line L is perpendicular to y-axis and passing through (0, k) on y- axis.
Hence, the equation of a line perpendicular to y axis is
y = k
Note :
If the line is passing through some other value on y axis, we have to replace 'k' by that value.
Apart from the equation of a line which is perpendicular to y-axis, let us look at some other different forms of equation of straight line.
The different forms of equation of straight line are,
(i) Slope intercept form
(ii) Point slope form
(iii) Two point form
(iv) Intercept form
Let us look at the above different forms of equation of straight line in detail.
Slope-Intercept Form
Here,
Slope of the line = m
y-intercept = b
Point-Slope Form
Here,
Slope of the line = m
Point = (x1, y1)
Two-Points Form
Here, the two points are
(x1, y1) and (x2, y2)
Intercept Form
Here,
x- intercept = a
y- intercept = b
Apart from the above forms of equation of straight line, there are some other ways to get equation of a straight line.
1. If a straight line is passing through the value 'c' on x-axis and parallel to y-axis, then the equation of the straight line is x = c.
2. Equation of x-axis is y = 0.
(Because, the value of 'y' in all the points on x-axis is zero)
3. Equation of y-axis is x = 0.
(Because, the value of 'x' in all the points on y-axis is zero)
4. General equation of a straight line is
ax + by + c = 0
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