Finding Slope from Tables

Front

What is slope?

Back

Slope is a measure of the steepness of a line, calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

Front

How do you calculate slope from a table of values?

Back

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

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship.

Front

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

Back

Front

If the slope of a line is 0, what does that mean?

Back

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

Front

What is the slope of the line that goes through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-values are the same, resulting in a vertical line.

Front

How do you interpret a slope of -3/4?

Back

A slope of -3/4 means that for every 4 units you move to the right (increase in x), the line goes down 3 units (decrease in y).

Front

What is the formula for slope?

Back

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

Front

What is the slope of the line that contains the points (0, 0) and (4, 8)?

Back