Equation Of A Line

The equation of a line in Slope Intercept Form is written as shown as: y = m x + c,
Where ‘m’ is the Slope of the line which is also named as gradient of a line and ‘c’ is named as the y- intercept of the line.
The parameters used in the equation of the line above can be described as:
‘y’ is the values on vertical axis.
‘x’ is the values on horizontal axis.
‘M’ is the Slope or gradient.
‘c’ refers to y- intercept that is where the line crosses the y- axis.
The calculation of the slope of the equation of a line is calculated with the help of ‘x’ and ‘y’ parameters.
There are different forms of equations of lines. Some are as follows -
The equation of a line that passes through two points [Let those points are (x₁, y₁), (x₂, y₂)] is given as
(x₂ – x₁) (y – y₁) = (y₂ – y₁) (x – x₁).
A Straight Line is defined by a linear equation whose general form is given as
P x + Q y + R = 0, where the value of ‘P‘and ‘Q’ both can not be zero.
The intercept form is given as
x / a + y / b = 1.
For a particular case the equation of a straight line passing through the Point (p, q) with the slope of the equation is
y = m (x – p) + q,
or
y – b = m (x – a),
The parametric form of equation and implicit form of equations are also there which are related to the vectors.