Slope from Two Points

Front

What is slope?

Back

Slope is a measure of how steep a line is. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate.

Front

How do you find the slope from two points?

Back

To find the slope (m) from two points (x1, y1) and (x2, y2), use 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, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the x-value does not change, leading to division by zero.

Front

If the points are (1, 2) and (3, 6), what is the slope?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

If the points are (4, 5) and (4, 9), what is the slope?

Back

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

Front

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

Back

The slope is 1, calculated as (2 - 0) / (2 - 0).

Front

What is the slope of the line that passes through (-1, -1) and (1, 1)?

Back

The slope is 1, calculated as (1 - (-1)) / (1 - (-1)).