Finding Slope from a Table

Front

What is the definition of slope?

Back

The slope is a measure of the steepness or incline 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

If the points (2, 3) and (4, 7) are given, what is the slope?

Back

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

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-values regardless of the x-values.

Front

What is the slope of a vertical line?

Back

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

Front

Given the points (1, 2) and (3, 6), find the slope.

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

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

Back

The slope is (10 - 0) / (5 - 0) = 10 / 5 = 2.

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).