There are number of forms of the equation of a line like the intercept form, the general equation of a line, the normalized equation, the Point slope equation, Slope intercept equation etc. or m = (x – x_{1}) / (y – y_{1})Here x _{1} and y_{1} are the given point in the equation ‘m’ is the slope of a line equation and (x, y) is any point located on the line.The form of an equation of a line given above is similar to the equation of the Straight Line discussed in the starting. Basically in the point slope form the points (x _{1}, y_{1}) are actually the points (0, c) for the straight line equation.Both forms can be interchanged with one another. Suppose we have y – y _{1} = m (x – x_{1}),On putting the coordinates (0, b) in spite of (x _{1}, y_{1}), we gety - b = m (x – 0), y – b = mx, y = mx + b. |

**Slope of a line is also known as gradient of line.**

**Slope of a line represents the Ratio of change in ‘Y’ to change in ‘X’ between two points on a line.**If the Slope of line is undefined or not defined then it is said to be a vertical line and if the Slope of line is 0, then it is said to be a horizontal line.

Now we will see Equation of a line:

y = mx + c

Where ‘m’ define Slope of a line and the y- intercept is given by ‘c’.

Slope of a line can be defined by using the following formula:

m = u

_{1}– u

_{2}/ v

_{1 }– v

_{2},

‘m’ is the slope of line and u

_{1, }u

_{2 }are the points on y- axis and v

_{1,}v

_{2}are the points on x- axis.

The above equation can also be described as:

m = u

_{2}– u

_{1}/ v

_{2 }– v

_{1},

The gradient of a line can be represented by following formula:

We can understand slope with help of an example:

Assume that a line follows two points: A = (3, 3) and B = (7, 5), therefore by the division of the change in y - coordinate by the change in x - axis, one can easily calculate the slope of the line:

The formula for finding the slope of a line is:

m =

**u**,

_{2}– u_{1}/v_{2 }– v_{1}=

**7 – 3 / 5 – 3**,

=

**4 / 2**;

=

**2**;

This is how we Define slope of a line;

If the slope of a line is equal to -1, then two lines are perpendicular to each other.