Slope from 2 points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates a vertical line, where the x-coordinates of the two points are the same.

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

How do you interpret a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the points (2, 4) and (6, 12), how do you calculate the slope?

Back

Using the formula m = (y2 - y1) / (x2 - x1), substitute the values: m = (12 - 4) / (6 - 2) = 8 / 4 = 2.

Front

If two points have the same y-coordinate, what can be said about the slope?

Back

If two points have the same y-coordinate, the slope is 0, indicating a horizontal line.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, such as speed, growth, or any relationship between two variables.

Front

How can you determine if a slope is steep or gentle?

Back

A larger absolute value of the slope indicates a steeper line, while a smaller absolute value indicates a gentler slope.