Understanding Lines: Parallel, Perpendicular, and Slopes

The video tutorial covers the concepts of parallel and perpendicular lines, focusing on their slopes. It explains that parallel lines have the same slope and never intersect, while perpendicular lines form a 90-degree angle with slopes that are negative reciprocals. The tutorial provides examples to illustrate these concepts, including how to calculate slopes and determine if lines are parallel, perpendicular, or neither. It also discusses the importance of understanding negative reciprocals and offers practice problems for further learning.

What is the characteristic of parallel lines in terms of their slopes?

• They have the same slope.

• Their slopes are negative reciprocals.

• Their slopes are undefined.

• They have different slopes.

What symbol is commonly used to represent perpendicular lines?

• Two slanted lines

• An upside down T

• A circle

• Two parallel lines

How do you find the negative reciprocal of a fraction?

• Square the fraction

• Multiply the fraction by two

• Add one to the fraction

• Flip the fraction and change the sign

What is the negative reciprocal of the number 2?

• 1/2

• 2

• -1/2

• -2

If two lines have the same slope, what is their relationship?

• They are perpendicular.

• They are neither parallel nor perpendicular.

• They are parallel.

• They intersect at a right angle.

What is the slope of a line that is perpendicular to a horizontal line?

• Negative

• Positive

• Undefined

• Zero

If the slope of line AB is 2/5 and the slope of line CD is -5/2, what is their relationship?

• Perpendicular

• Coinciding

• Parallel

• Neither

What is the slope of line AB if the coordinates are (3, 6) and (-2, 2)?

• 3/4

• -3/4

• 4/3

• -4/3

If the slope of line AB is -2/3 and the slope of line CD is 1/4, what is their relationship?

• Neither

• Parallel

• Perpendicular

• Coinciding

What is the slope of line CD if the coordinates are (8, 3) and (1, 3)?

• Undefined

• -1

• 1

• 0