Types of Slopes (2)

Front

What is the definition of a positive slope?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, resulting in an upward trend on a graph.

Front

What is the definition of a negative slope?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward trend on a graph.

Front

What does a zero slope represent?

Back

A zero slope represents a horizontal line where the y-value remains constant as the x-value changes.

Front

What does an undefined slope represent?

Back

An undefined slope represents a vertical line where the x-value remains constant as the y-value changes.

Front

How can you determine the slope of a line from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the slope of a line that goes from the point (2, 3) to (2, 5)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.

Front

What is the slope of a line that goes from the point (1, 2) to (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What type of slope does a line that decreases from left to right have?

Back

A line that decreases from left to right has a negative slope.

Front

What type of slope does a line that increases from left to right have?

Back

A line that increases from left to right has a positive slope.

Front

What is the graphical representation of a zero slope?

Back

A zero slope is represented by a horizontal line on a graph.