Finding Slope

Front

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

Back

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

Front

Find the slope of the points (1, 2) and (3, 6).

Back

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

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

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

For every 3 units of rise, there is a 1 unit run.

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change between two variables.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.