Slope, Parallel and Perpendicular

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

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 5, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with slope 5 is -1/5.

Front

If a line has a slope of -3/4, what is the slope of a line parallel to it?

Back

The slope of a line parallel to a line with slope -3/4 is also -3/4.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

Find the slope of the line passing through the points (2, 3) and (4, 7).

Back

Slope = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.