Finding Slope from Two Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, 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 x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, indicating that there is no change in x as y changes.

Front

Find the slope of the line that passes through the points (2, 3) and (5, 7).

Back

The slope is m = (7 - 3) / (5 - 2) = 4 / 3.

Front

Find the slope of the line that passes through the points (1, 2) and (1, 5).

Back

The slope is undefined because the x-coordinates are the same.

Front

If a line has a slope of -2, what does this tell you about the line's direction?

Back

The line falls as it moves from left to right, indicating a negative relationship between x and y.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.