Parallel and Perpendicular Lines Flashcard Review

Front

What is the slope of a line?

Back

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

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet or intersect. They have the same slope but different y-intercepts.

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

If two lines have slopes m1 and m2, when are they parallel?

Back

Two lines are parallel if m1 = m2.

Front

If two lines have slopes m1 and m2, when are they perpendicular?

Back

Two lines are perpendicular if m1 * m2 = -1.

Front

What is the slope of the line y = 2x + 3?

Back

The slope of the line y = 2x + 3 is 2.

Front

What is the slope of the line y = -1/2x + 4?

Back

The slope of the line y = -1/2x + 4 is -1/2.

Front

Write the equation of a line parallel to y = 3x + 1 that passes through the point (1, 2).

Back

y = 3x - 1.

Front

Write the equation of a line perpendicular to y = 4x + 2 that passes through the point (2, 3).

Back

y = -1/4x + 3.5.

Front

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

Back

The slopes of two parallel lines are identical.