Slope

In the previous post we have discussed about Proof of bay s theorem and In today's session we are going to discuss about,Slope of a line can be defined as ratio of change in vertical axis to change in horizontal among two points on a line. If the slope of line is undefined or not defined then it is known as vertical line and if the slope of line is given as 0, then it is known as horizontal line. Formula to find the slope equation is given as:

                   y = mx + c,

Here value of ‘m’ stands for slope of line and y- intercept is given by ‘c’. It is also described by using the formula given below:

m = k₁ – k₂ / l₁ – l₂,

Here ‘m’ stands for slope of line and a₁, a₂ are the points defined on y- axis and b₁, b₂ are the points defined on x- axis. Above equation can also be written as:

     m = k₂– k₁ / l₂ – l₁,

In this gradient of a line is also defined which is denoted by the given formula:

         m = tan θ,

Let’s take an example. It will be clear with help of an example:

Example 1: - Calculate slope of the line segment that join the points (4, -7) and (-7, 4)?

Solution: - As we see above that it is a line segment that join the points (4, -7) and (-7, 4). As we know that formula to find the slope is given as:

m = k₂ – k₁ / l₂ – l₁, here value of k₁ = 4, l₁ = -7 and k₂ = -7, l₂ = 4

Now put given values in formula to find its value. On putting value in formula to get result.

m = -7 – 4 / 4 – (-7), on further solving we get:

m = - 11 / 11,

So here we get the value of 'm' is -1. In this way we can find out the value of 'm'.

Mann Whitney Test can be used to see either two independent samples of observations are drawn from same distributions.

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