Parallel and Perpendicular equations

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 parallel to y = 3x + 5?

Back

3

Front

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

Back

1/4 (the opposite reciprocal of -4).

Front

If two lines have slopes of 2 and -1/2, what is their relationship?

Back

They are perpendicular.

Front

What is the slope of the line y = 5?

Back

0 (horizontal line).

Front

What is the slope of the line x = 4?

Back

Undefined (vertical line).

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 equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

y - 3 = 2(x - 1) or y = 2x + 1.

Front

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

Back

The slopes are equal.