Types of Slope

Front

What is a positive slope?

Back

A positive slope indicates that as the x-values increase, the y-values also increase. It is represented graphically as a line that rises from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-values increase, the y-values decrease. It is represented graphically as a line that falls from left to right.

Front

What is a zero slope?

Back

A zero slope indicates that there is no change in the y-values as the x-values change. It is represented graphically as a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a vertical line is drawn, meaning the x-values do not change while the y-values do. It indicates a division by zero in the slope formula.

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

What does a slope of 1 indicate?

Back

A slope of 1 indicates that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle line.

Front

What does a slope of -1 indicate?

Back

A slope of -1 indicates that for every unit increase in x, there is a corresponding unit decrease in y, resulting in a line that falls at a 45-degree angle.

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 horizontal distance increases.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because it does not have a defined change in x.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the y-value increases by 2 units.