Geometry Slope, Midpoint, and Distance Formulas

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

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

Front

What is the formula for calculating the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

If the points are (4, 12) and (-6, 14), what is the midpoint?

Back

Midpoint = (-1, 13)

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

Distance = 5.0

Front

Calculate the slope of the line passing through the points (2, 3) and (5, 11).

Back

Slope = 8/3

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If the distance between two points is 10 units, what could be the coordinates of the points if one point is (0, 0)?

Back

Possible points include (10, 0), (0, 10), (-10, 0), (0, -10), etc.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

Slope = -3