Slope from a Table

Front

What is the 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 positive slope indicate?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing a downward trend.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating 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 as the y-value changes.

Front

If the slope is 3, what does this mean in terms of rise and run?

Back

A slope of 3 means that for every 1 unit you move horizontally (run), the line rises 3 units vertically (rise).

Front

What is the slope of a line that goes through the points (2, 4) and (4, 10)?

Back

The slope is (10 - 4) / (4 - 2) = 6 / 2 = 3.

Front

How can you tell if a slope is steep?

Back

A slope is considered steep if the absolute value of the slope is greater than 1.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.