Find the Slope from Tables

Front

What is the 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 two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it involves division by zero (change in x is 0).

Front

If the slope of a line is 3, what does this mean?

Back

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

Front

Calculate the slope between the points (2, 3) and (5, 11).

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (11 - 3) / (5 - 2) = 8 / 3.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope of the line is 2, which indicates that for every 1 unit increase in x, y increases by 2 units.

Front

How do you interpret a slope of -1/2?

Back

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