Types of Slope

Front

What is the definition of slope?

Back

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.

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What is the slope of a horizontal line?

Back

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

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because there is no horizontal change, leading to division by zero.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

If a line rises from left to right, what type of slope does it have?

Back

The line has a positive slope.

Front

If a line falls from left to right, what type of slope does it have?

Back

The line has a negative slope.

Front

What is an example of a situation with a zero slope?

Back

An example of a zero slope is a flat road where there is no incline or decline.

Front

What is an example of a situation with an undefined slope?

Back

An example of an undefined slope is a straight up-and-down elevator shaft.