8U1L12 - 34 - Types of Slope

Front

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward line 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, resulting in a downward line 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, resulting in a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a line is vertical, meaning the x-value does not change while the y-value does.

Front

How do you determine the slope of a line from a graph?

Back

The slope can be determined by selecting two points on the line and using the formula: slope (m) = (change in y) / (change in x).

Front

What does a slope of 1 represent?

Back

A slope of 1 means 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 represent?

Back

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

Front

What is the slope of a horizontal line?

Back

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

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

How can you identify the slope from a linear equation in slope-intercept form (y = mx + b)?

Back

In the equation y = mx + b, 'm' represents the slope of the line.