Types of Slope and Slope Formula

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, represented as a ratio of the vertical change to the horizontal change between two points.

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 slant 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 slant from left to right.

Front

What is a zero slope?

Back

A zero slope indicates that there is no vertical change as the x-value changes, resulting in a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a vertical line is drawn, meaning there is no horizontal change, and the slope cannot be calculated.

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 is the slope of the line that passes through the points (5, 3) and (5, -9)?

Back

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

Front

What type of slope is shown in the image if the line goes down from left to right?

Back

The slope is negative.

Front

What type of slope is shown in the image if the line goes up from left to right?

Back

The slope is positive.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal and does not rise or fall.