Slope Between 2 Points

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

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning x does not change as y changes.

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

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

Back

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

Front

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

Back

Undefined (the line is vertical).

Front

Find the slope of the line that passes through the points (5, 10) and (10, 5).

Back

m = (5 - 10) / (10 - 5) = -5 / 5 = -1

Front

If the slope of a line is 3, what does this tell you about the relationship between x and y?

Back

For every 1 unit increase in x, y increases by 3 units.