Identify Slope Types

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.

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.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, 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 the x-value does not change, leading to division by zero.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is an example of a line with a positive slope?

Back

An example is the line represented by the equation y = 2x + 1.

Front

What is an example of a line with a negative slope?

Back

An example is the line represented by the equation y = -3x + 4.

Front

What does a slope of zero look like on a graph?

Back

A slope of zero appears as a horizontal line on a graph.

Front

What does an undefined slope look like on a graph?

Back

An undefined slope appears as a vertical line on a graph.