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, meaning there is no change in x as y changes.

Front

Given the points (1, 2) and (3, 4), find the slope.

Back

The slope is (4 - 2) / (3 - 1) = 2 / 2 = 1.

Front

Given the points (2, 3) and (2, 5), find the slope.

Back

The slope is undefined because the x-coordinates are the same (2).

Front

What is the slope of the line through the points (0, 0) and (4, 8)?

Back

The slope is (8 - 0) / (4 - 0) = 8 / 4 = 2.

Front

If the slope of a line is -3, what does this tell you about the line?

Back

It tells you that for every 1 unit increase in x, y decreases by 3 units.