Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are opposite reciprocals.

Front

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

Back

The slope is represented by 'm'.

Front

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

Back

They are perpendicular.

Front

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

Back

The slope is 4.

Front

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

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

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

Back

y = 2x + 1.

Front

Write the equation of a line that is perpendicular to y = -3x + 4 and passes through the point (2, 1).

Back

y = (1/3)x + 5/3.