Slope Formula Practice

Front

What is the formula for calculating the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing, meaning as the x-value increases, the y-value decreases.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing, meaning as the x-value increases, the y-value also increases.

Front

How do you determine if two points have the same y-coordinate?

Back

Two points have the same y-coordinate if their second values (y-values) are equal, indicating a horizontal line.

Front

How do you determine if two points have the same x-coordinate?

Back

Two points have the same x-coordinate if their first values (x-values) are equal, indicating a vertical line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y (numerator) as x changes.

Front

If the coordinates of two points are (a, b) and (c, d), how would you express the slope?

Back

The slope can be expressed as m = (d - b) / (c - a).

Front

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

Back

The slope represents the rate of change, which can be used in various real-world contexts such as speed, cost, and growth rates.