4B.1 Flashcardizz (Parallel and Perpendicular Lines)

Front

What are parallel lines?

Back

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

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

How do you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope (m) in their slope-intercept form (y = mx + b).

Front

How do you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1 (m1 * m2 = -1).

Front

What is the slope of a line in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

If two lines have slopes m1 = 2 and m2 = -1/2, are they parallel, perpendicular, or neither?

Back

They are perpendicular because the product of their slopes (2 * -1/2) equals -1.

Front

What is the slope of the line y = 3x + 4?

Back

The slope of the line y = 3x + 4 is 3.

Front

If two lines are given as y = 5x + 2 and y = 5x - 3, what can be said about them?

Back

They are parallel because they have the same slope (5).

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

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