Slope from table

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the rise (change in y) over the run (change in x).

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 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 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 y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

If the slope is 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the y-value increases by 2 units.

Front

If the slope is -1/2, what does this mean?

Back

A slope of -1/2 means that for every 1 unit increase in x, the y-value decreases by 0.5 units.

Front

What is the slope of the line represented by the points (1, 3) and (3, 7)?

Back

Slope = (7 - 3) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of the line represented by the points (2, 4) and (2, 6)?

Back

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