Types of Slopes

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases. 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-value increases, the y-value decreases. 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-value as the x-value changes. 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-value does not change while the y-value does. It cannot be expressed as a number.

Front

How do you determine the slope of a line?

Back

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

Front

What does a steep positive slope indicate?

Back

A steep positive slope indicates a rapid increase in the y-value as the x-value increases.

Front

What does a steep negative slope indicate?

Back

A steep negative slope indicates a rapid decrease in the y-value as the x-value increases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Give an example of a positive slope.

Back

An example of a positive slope is the line represented by the equation y = 2x + 1.