Slope from Table/Graph

Front

What is 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 to the horizontal change between two points on the line.

Front

How do you calculate the slope from a graph?

Back

To calculate the slope from a graph, choose two points on the line, find the vertical change (rise) and the horizontal change (run), and then divide the rise by the run (slope = rise/run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

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 the y-value as the x-value changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in the x-value, and the slope cannot be calculated.

Front

If a line rises 4 units for every 1 unit it runs, what is the slope?

Back

The slope is 4 (slope = rise/run = 4/1).

Front

If a line falls 2 units for every 3 units it runs, what is the slope?

Back

The slope is -2/3 (slope = rise/run = -2/3).

Front

What is the slope of a line that goes through the points (1, 2) and (3, 6)?

Back

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

Front

How can you determine the slope from a table of values?

Back

To determine the slope from a table, calculate the change in y-values divided by the change in x-values between two points.