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 y (vertical) divided by the change in x (horizontal).

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 is the slope of the line that passes through (6,7) and (4,2)?

Back

5/2

Front

What is the slope of the line that passes through (-3, -4) and (7, 6)?

Back

1

Front

What is the slope of the line that passes through (2, 4) and (6, 12)?

Back

2

Front

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

Back

undefined

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero.

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line, where the change in y is zero.

Front

If the slope is positive, what does that mean?

Back

A positive slope means that as x increases, y also increases.

Front

If the slope is negative, what does that mean?

Back

A negative slope means that as x increases, y decreases.