# Slope of a Line Through Two Points

Let and be any two points on the given line . Also let be the inclination of the line as shown in the given diagram. From point draw perpendicular to the X-axis, and from draw perpendicular to the X-axis.

Now from the given diagram, consider the triangle . From the definition of a slope we take

Now by the definition we can use instead of , and we get the slope of a line through two points:

__Example__**:** Find the slope of a straight line passing through the pair of points and .

Here we have two points. Suppose that and . Now using the formula of a slope passing through two given points of the straight line:

By substituting the above points in the formula we get the slope of the line as

Here is the required slope of the line.