Slope from a Graph

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 (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope from a graph?

Back

To calculate the slope from a graph, identify two points on the line, determine the rise (change in y) and run (change in x) between these points, and then use the formula: Slope = rise/run.

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 does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines, where the change in x is zero, leading to a division by zero in the slope formula.

Front

If a line rises 3 units for every 4 units it runs, what is the slope?

Back

Front

If a line falls 2 units for every 5 units it runs, what is the slope?

Back

Front

How do you express a slope of -3/4 as a decimal?

Back

As a decimal, a slope of -3/4 is -0.75.

Front

What is the slope of a line that runs horizontally?

Back

The slope of a horizontal line is 0.