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 divided by the change in x (rise over 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 change in x is zero, making the denominator of the slope formula zero.

Front

What is the slope of the line that passes through (-12, -5) and (0, -8)?

Back

-1/4

Front

What is the slope of the line that passes through (-4, 7) and (-6, -4)?

Back

11/2

Front

What is the slope of the line that passes through (5, -10) and (5, -4)?

Back

undefined

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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no change in x.