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
If the line is passing through some other value on y axis, we have to replace 'k' by that value.
Equation of a line in slope-intercept form is
y = mx + b
where m is the slope and b is the y-intercept.
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.
(x1, y1) and (x2, y2) are the two points on the line.
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
Kindly mail your feedback to firstname.lastname@example.org
We always appreciate your feedback.