Slope, Midpoint & Distance

Front

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

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

Calculate the midpoint of the segment with endpoints (4, 12) and (-6, 14).

Back

Midpoint = (-1, 13)

Front

What is the formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2)?

Back

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

Front

Find the slope of the line that passes through the points (-4, 7) and (-6, -4).

Back

Slope = 11/2

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the distance between the points (-5, -8) and (-1, -16).

Back

Distance = 8.9

Front

Find the slope of the line that passes through the points (6, 7) and (4, 2).

Back

Slope = 5/2

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the significance of a slope of zero?

Back

A slope of zero indicates a horizontal line.