Types of Slope/Finding Slope from a Graph

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

What is the formula for calculating slope?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, indicating no vertical change as the x-values change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would involve division by zero in the slope formula.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the rise (vertical change) and run (horizontal change) between them, and use the slope formula.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope of the line is 3/2.

Front

If a line has a slope of -5/4, what does this tell you about its direction?

Back

A slope of -5/4 indicates that the line falls from left to right, with a steepness of 5 units down for every 4 units it runs to the right.

Front

What type of slope does a line with a slope of 2/7 have?

Back

A line with a slope of 2/7 has a positive slope, indicating it rises from left to right.