Parallel and Perpendicular Lines

Front

What are the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals.

Front

How can you determine if two linear equations are parallel, perpendicular, or neither?

Back

If the slopes are equal, they are parallel. If the slopes are opposite reciprocals, they are perpendicular. If neither condition is met, they are neither.

Front

Write the equation of a line parallel to y = -1/2x + 3 that goes through the point (4, -1).

Back

y + 1 = -1/2(x - 4)

Front

What slope is perpendicular to m = 5/8?

Back

-8/5

Front

Given Line 1: (15, 20), (17, 18) and Line 2: (-22, -18), (-20, -16), what is the relationship between the two lines?

Back

The two lines are perpendicular.

Front

Define parallel lines.

Back

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

Front

Define perpendicular lines.

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees); their slopes are opposite reciprocals.

Front

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

Back

The slope is 3.

Front

If a line has a slope of 2, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -1/2.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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