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.

Slope-Intercept Form

Equation of a line in slope-intercept form is

y = mx + b

where m is the slope and b is the y-intercept.

Point-Slope Form

Equation of a line in point-slope-intercept form

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) is a point on the line.

Two-Points Form

(x₁, y₁) and (x₂, y₂) are the two points on the line.

Intercept Form

where a is the x-intercept and b is the y-intercept.

1. If a straight line is passing through a point (0, k) on y-axis and parallel to x-axis, then  the equation of the straight line is y = k.

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 form equation of a straight line :

ax + by + c = 0

5. Standard form equation of a straight line :

ax + by = c

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