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). Their slopes are negative reciprocals of each other.

Front

If two lines have slopes of 3 and -1/3, what can be said about their relationship?

Back

The lines are perpendicular because their slopes are negative reciprocals.

Front

What is the slope of a line parallel to y = 4x + 1?

Back

The slope is 4, as parallel lines have identical slopes.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope is -2.

Front

Write the equation of a line parallel to y = 5x + 2 that passes through the point (1, 3).

Back

y = 5x - 2.

Front

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

Back

The slopes of two parallel lines are identical.

Front

If a line has a slope of 1/4, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -4 (negative reciprocal).

Front

What is the equation of a line that is perpendicular to y = 3x + 1 and passes through the point (2, 5)?

Back

y = -1/3x + 19/3.