Find slope using formula

Front

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

Back

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

Front

What does a positive slope indicate about a line on a graph?

Back

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

Front

What does a negative slope indicate about a line on a graph?

Back

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

Front

What does a slope of zero indicate about a line on a graph?

Back

A slope of zero indicates a horizontal line, meaning y does not change as x changes.

Front

What does an undefined slope indicate about a line on a graph?

Back

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

Front

Calculate the slope between the points (1, 2) and (3, 4).

Back

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

Front

Calculate the slope between the points (2, 5) and (2, 3).

Back

Slope = (3 - 5) / (2 - 2) = -2 / 0 = undefined

Front

Calculate the slope between the points (0, 0) and (4, 8).

Back

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

Front

If the slope of a line is 3, what does this mean in terms of rise over run?

Back

For every 3 units the line rises, it runs 1 unit to the right.

Front

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

Back

Slope = (7 - (-3)) / (-4 - (-1)) = 10 / -3 = -10/3