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.

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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

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

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero.

A slope of 4/1 means that for every 1 unit increase in x, the y-value increases by 4 units.

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

The slope of the line is 2, indicating that for every 1 unit increase in x, y increases by 2 units.

The slope of the line is -3, indicating that for every 1 unit increase in x, y decreases by 3 units.