Parallel and Perpendicular Lines

Front

What is the definition of parallel lines?

Back

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

Front

What is the definition of 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 m1 and m2, what condition must be met for the lines to be perpendicular?

Back

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

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of the perpendicular line is -1/3.

Front

How do you determine if two lines are parallel from their equations?

Back

Two lines are parallel if their slopes are equal.

Front

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

Back

These lines are parallel because they have the same slope of 2.

Front

What is the slope-intercept form of a line?

Back

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

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope of the line is -4.

Front

If a line has a slope of 0, what can be said about the line?

Back

A line with a slope of 0 is a horizontal line.