Slope

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?

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 determine if a slope is positive, negative, or zero from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

Calculate the slope between the points (2, 7) and (5, 8).

Back

Slope = (8 - 7) / (5 - 2) = 1/3.

Front

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

Back

The slope is 4.

Front

What does it mean if a line has an undefined slope?

Back

It means the line is vertical and does not have a defined rise over run.