Finding Slope from Tables

Front

What is the definition of slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate the slope from a table of values?

Back

To calculate the slope from a table, use the formula: slope (m) = (change in y) / (change in x) between two points.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is 0, leading to division by zero.

Front

If the slope is positive, what does that mean about the line?

Back

A positive slope means that as x increases, y also increases, indicating an upward trend.

Front

If the slope is negative, what does that mean about the line?

Back

A negative slope means that as x increases, y decreases, indicating a downward trend.

Front

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

Back

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

Front

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

Back

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

Front

How do you interpret a slope of 3?

Back

A slope of 3 means that for every 1 unit increase in x, y increases by 3 units.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.