Finding Slope from Tables

Front

What is the definition of slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the slope from a table of values?

Back

To calculate the slope from a table, select two points (x1, y1) and (x2, y2) from the table and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in the x-value as the y-value changes.

Front

If a table shows a constant increase in y-values as x-values increase, what can be said about the slope?

Back

The slope is positive, indicating that as x increases, y also increases.

Front

If a table shows a constant decrease in y-values as x-values increase, what can be said about the slope?

Back

The slope is negative, indicating that as x increases, y decreases.

Front

What is the slope of a line that goes through the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What is the slope of a line that goes through the points (1, 5) and (1, 9)?

Back

The slope is undefined, as the x-values are the same, indicating a vertical line.

Front

What is the slope of a line that goes through the points (3, 2) and (5, 2)?

Back

The slope is 0, as the y-values are the same, indicating a horizontal line.

Front

How can you tell if a slope is positive from a table?

Back

If the y-values increase as the x-values increase, the slope is positive.