# Slope

The slope is the inclination of a line with respect to the x-axis.

It is denoted by the letter **m**.

**Slope given two points:**

**Slope given the angle: **

**Slope given a vector of the line:**

**Slope given the equation of the line:**

Two lines are parallel if their slopes are equal.

Two lines are perpendicular if their slopes are the inverse of each other and their signs are opposite.

#### Examples

The slope of the line through the points A = (2, 1) and B = (4, 7) is:

The line passes through Points A = (1, 2) and B = (1, 7) and has no slope since division by 0 is undefined.

If the angle between the line with the positive x-axis is acute, the slope is positive and grows as the angle increases.

If the angle between the line with the positive x-axis is obtuse, the slope is negative and decreases as the angle increases.