Slope Formula Error Analysis

Front

What is the slope formula?

Back

The slope formula is given by (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Front

How do you determine the slope between two points?

Back

To determine the slope between two points, use the formula (y2 - y1) / (x2 - x1) and substitute the coordinates of the points.

Front

What is the error in using addition instead of subtraction in the slope formula?

Back

Using addition instead of subtraction can lead to an incorrect calculation of the slope, resulting in a misrepresentation of the line's steepness.

Front

What is the importance of correctly setting up the slope formula?

Back

Correctly setting up the slope formula is crucial for accurately determining the relationship between two points on a graph.

Front

What is the result of the slope calculation if the points are (2, 3) and (4, 7)?

Back

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

Front

What is the result of the slope calculation if the points are (1, -1) and (1, 2)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.