Slope from Two Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in vertical distance (rise) divided by the change in horizontal distance (run).

Front

How do you calculate the slope from two points?

Back

To calculate the slope (m) from two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the x-coordinates of the two points are the same.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, where the y-coordinates of the two points are the same.

Front

If the slope is positive, what does that mean?

Back

A positive slope means that as you move from left to right on the graph, the line rises.

Front

If the slope is negative, what does that mean?

Back

A negative slope means that as you move from left to right on the graph, the line falls.

Front

What is the slope of the line that passes through (1, 2) and (3, 6)?

Back

The slope is 2.

Front

What is the slope of the line that passes through (2, 3) and (2, 5)?

Back

The slope is undefined.

Front

What is the slope of the line that passes through (4, 1) and (6, 3)?

Back

The slope is 1.

Front

What is the slope of the line that passes through (0, 0) and (4, 4)?

Back

The slope is 1.