To understand the equation of a line perpendicular to x-axis, let us consider the figure given below.
In the figure above, clearly the line L is perpendicular to x-axis and passing through the value 'c' on x- axis.
So, the equation of a line perpendicular to x axis is
x = c
If the line is passing through some other value on x axis, we have to replace 'c' 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. Equation of a line in general form :
ax + by + c = 0
4. Equation of a line in standard form :
ax + by = c
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