Slope from a Table

Front

What is the slope?

Back

The 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.

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) 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-coordinate.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in the x-coordinate is 0.

Front

If the slope is 3/2, what does this mean?

Back

A slope of 3/2 means that for every 2 units you move horizontally to the right, you move 3 units up.

Front

If the slope is -1/3, what does this mean?

Back

A slope of -1/3 means that for every 3 units you move horizontally to the right, you move 1 unit down.

Front

What is the slope of the line represented by the points (2, 3) and (4, 7)?

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

How can you tell if a slope is steep?

Back

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