Types of slope

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend from left to right.

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend from left to right.

An undefined slope occurs in vertical lines where the change in x is zero, making the slope calculation (rise/run) impossible.

There are three main types of slopes: positive, negative, and undefined.

The slope of a horizontal line is zero, indicating that there is no vertical change as the x-value changes.

The slope can be determined by selecting two points on the line, calculating the rise (change in y) and run (change in x), and then using the formula slope = rise/run.

The slope of a line that rises from left to right is positive.

The slope of a line that falls from left to right is negative.

A slope of 3 means that for every 1 unit increase in x, the y-value increases by 3 units.