Slope from ordered pairs and tables

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

Find the slope of the line that passes through the points (2, 3) and (5, 11).

Back

m = (11 - 3) / (5 - 2) = 8 / 3

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

Find the slope of the line that passes through the points (0, 0) and (4, 8).

Back

m = (8 - 0) / (4 - 0) = 2

Front

If the slope of a line is 0, what does this mean about the line?

Back

A slope of 0 means the line is horizontal.

Front

If the slope of a line is undefined, what does this mean about the line?

Back

An undefined slope means the line is vertical.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

m = (6 - 2) / (3 - 1) = 4 / 2 = 2

Front

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

Back

The slope (m) is 3.

Front

Find the slope of the line that passes through the points (-2, -1) and (2, 3).

Back

m = (3 - (-1)) / (2 - (-2)) = 4 / 4 = 1