Slope, Parallel and Perpendicular

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the rise (change in y) over the run (change in x).

Front

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

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What slope is perpendicular to m = 3/4?

Back

-4/3

Front

What slope is perpendicular to m = 5/8?

Back

-8/5

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 two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

If two lines are perpendicular, how are their slopes related?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

What is the slope of the line pictured if it rises 2 units for every 4 units it runs?

Back

1/2

Front

What is the slope of the line pictured if it falls 3 units for every 1 unit it runs?

Back

-3.