Parallel & 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

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

Back

Two lines are parallel if their slopes are equal. For example, in the equations y = mx + b, if both lines have the same value of m, they are parallel.

Front

How do you determine if two lines are perpendicular using their equations?

Back

Two lines are perpendicular if the product of their slopes is -1. If one line has a slope of m1, the other must have a slope of m2 such that m1 * m2 = -1.

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is the slope of a line that is perpendicular to a line with a slope of 2?

Back

The slope of a line that is perpendicular to a line with a slope of 2 is -1/2.

Front

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

Back

The slope of a line that is parallel to a line with a slope of -3 is also -3.

Front

If two lines have slopes of 1/4 and -4, are they parallel, perpendicular, or neither?

Back

They are perpendicular because the product of their slopes (1/4 * -4) equals -1.

Front

What is the negative reciprocal of 5/8?

Back

The negative reciprocal of 5/8 is -8/5.

Front

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

Back

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