Slope from Two Points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does it mean if the slope of a line is positive?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where the x-coordinates are the same (x1 = x2).

Front

How do you determine if two points are vertical?

Back

Two points are vertical if they have the same x-coordinate.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If the coordinates of two points are (a, b) and (c, d), how would you express the slope?

Back

The slope is expressed as (d - b) / (c - a).

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables, such as speed, growth, or cost.

Front

How can you identify the slope from a graph of a line?

Back

The slope can be identified by selecting two points on the line and calculating the rise over run.

Front

What is the rise in the context of slope calculation?

Back

The rise is the change in the y-coordinates of two points (y2 - y1).