Slope

Front

What is the formula to calculate the slope of a line?

Back

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

Front

Find the slope of the line that passes through 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 a line has a slope of 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

Find the slope of the line that passes through the points (4, 5) and (2, 1).

Back

Slope = (1 - 5) / (2 - 4) = -4 / -2 = 2

Front

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

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.