Slope from Two Points

Front

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

Back

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.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How do you determine the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the coordinates of two points are (x1, y1) and (x2, y2), what happens if x1 = x2?

Back

If x1 = x2, the slope is undefined because you cannot divide by zero.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

What is the slope of a line that is perfectly horizontal?

Back

The slope of a perfectly horizontal line is 0.

Front

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

Back

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

Front

What is the slope of the line that passes through the points (-2, 8) and (0, 8)?

Back

The slope is 0 because the y-coordinates are the same.