CPM Slope, distance and midpoint

Front

What is the definition of slope in mathematics?

Back

The slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

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

Back

Front

What does the y-axis represent in a Cartesian coordinate system?

Back

The y-axis represents the vertical line in a Cartesian coordinate system.

Front

What is the midpoint formula for finding the midpoint M of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

Front

Find the midpoint of the line segment with endpoints (2, -1) and (-6, 0).

Back

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

Front

Calculate the distance between the points (3, 4) and (7, 1).

Back

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no vertical change as you move along the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing; as x increases, y also increases.