Finding 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 find the slope from a table of values?

Back

To find 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 the line represented by the points (2, 3) and (4, 7)?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

What is the slope of the line represented by the points (1, 5) and (3, 1)?

Back

The slope is -2, calculated as (1 - 5) / (3 - 1).

Front

If the slope is 0, what does that mean?

Back

A slope of 0 means the line is horizontal, indicating no change in the y-value as the x-value changes.

Front

If the slope is undefined, what does that mean?

Back

An undefined slope means the line is vertical, indicating that the x-value does not change while the y-value changes.

Front

What is the slope of the line represented by the points (0, 0) and (5, 10)?

Back

The slope is 2, calculated as (10 - 0) / (5 - 0).

Front

How do you interpret a slope of 1/2?

Back

A slope of 1/2 means that for every 2 units you move to the right on the x-axis, you move up 1 unit on the y-axis.