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 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, what condition indicates they are perpendicular?

Back

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

Front

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

Back

The slope of a line perpendicular to y = 3x + 2 is -1/3.

Front

What is the slope of a line parallel to y = -2x + 5?

Back

The slope of a line parallel to y = -2x + 5 is -2.

Front

Given the equations y = 4x + 1 and y = 4x - 3, are these lines parallel, perpendicular, or neither?

Back

These lines are parallel.

Front

Given the equations y = 1/2x + 3 and y = -2x + 1, are these lines parallel, perpendicular, or neither?

Back

These lines are perpendicular.

Front

What is the general form of the equation of a line?

Back

The general form of the equation of a line is Ax + By + C = 0, where A, B, and C are constants.

Front

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

Back

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

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.