Parallel and Perpendicular Slopes

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

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, regardless of how far they are extended.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

If the slope of a line is 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with a slope of 3 is -1/3.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope of the line is -4.

Front

Which of the following slopes are opposite reciprocals? 1) 2, 2) -1/2, 3) 3, 4) -3

Back

Slopes 2) -1/2 and 1) 2 are opposite reciprocals.

Front

What is the slope of a line that is parallel to the line y = 1/3x - 2?

Back

The slope of a line parallel to y = 1/3x - 2 is 1/3.

Front

If a line has a slope of -5, what is the slope of a line that is parallel to it?

Back

The slope of a line parallel to a line with a slope of -5 is also -5.