Perpendicular vs Parallel

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

If two lines have slopes m1 and m2, what condition must they satisfy to be perpendicular?

Back

m1 * m2 = -1 (the slopes are opposite reciprocals).

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of the perpendicular line is -1/3.

Front

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

Back

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

Front

What is the slope of the line that goes through the points (2, 3) and (4, 7)?

Back

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

Front

If two lines are parallel, what can you say about their slopes?

Back

Their slopes are equal.

Front

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

Back

The slope is 5.

Front

Given the equation y = -2x + 4, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is 1/2.

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.