slope from table

Front

What is slope?

Back

Slope is a measure of the steepness 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 a rising line.

Front

What does a negative slope indicate?

Back

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

Front

What does a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, indicating that there is no change in x as y 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

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 falls 3 units vertically (rise).

Front

What is the slope of the line represented by the points (2, 3) and (4, 9)?

Back

The slope is (9 - 3) / (4 - 2) = 6 / 2 = 3.

Front

What is the slope of the line represented by the points (1, 2) and (1, 5)?

Back

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