F24 G 2 Distance, Midpoint, and Slope Flashcard

Front

What is the formula for finding the midpoint of two points (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2}).

Front

Find the midpoint of the segment connecting the points (2, 3) and (8, 7).

Back

(5, 5)

Front

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

Back

The distance d is given by d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}.

Front

Calculate the distance between the points (1, 1) and (4, 5).

Back

\sqrt{25}

Front

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

Back

The slope m is given by m = \frac{y2 - y1}{x2 - x1}.

Front

Calculate the slope of the line passing through the points (-2, -3) and (3, 7).

Back

\frac{5}{2}

Front

Calculate the slope of the line passing through the points (1, 2) and (4, 6).

Back

2

Front

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

Back

\sqrt{41}

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.