Exploring Slopes of Parallel and Perpendicular Lines

The lesson covers the concepts of parallel and perpendicular lines, focusing on their slopes. Parallel lines have equal slopes, while perpendicular lines have slopes that are opposite reciprocals. The lesson includes graphical analysis to determine parallelism and provides examples of writing equations for lines that are parallel or perpendicular to given lines using the point-slope formula.

Which type of slope is characterized by a line moving from left to right?

• Negative slope

• Undefined slope

• Positive slope

• Zero slope

What is the slope of a horizontal line?

• Zero

• Undefined

• Negative

• Positive

What is true about the slopes of parallel lines?

• They are equal

• One is positive, the other is negative

• They are opposite reciprocals

• They are undefined

If two lines have the same slope, what can be said about them?

• They are parallel

• They are perpendicular

• They intersect at a 90-degree angle

• They are undefined

What is the relationship between the slopes of perpendicular lines?

• They are both negative

• They are both positive

• They are opposite reciprocals

• They are equal

If one line has a slope of -3/2, what is the slope of a line perpendicular to it?

• 2/3

• -2/3

• -3/2

• 3/2

How can you determine if two lines are parallel graphically?

• They are both vertical

• They have the same rate of change

• They intersect at a 90-degree angle

• They have different slopes

What is the slope of a line parallel to y = 1/3x?

• -1/3

• -3

• 3

• 1/3

What is the slope of a line perpendicular to y = 1/2x - 5?

• 2

• -1/2

• 1/2

• -2

If a line has a slope of 2/3, what is the slope of a line perpendicular to it?

• -3/2

• 2/3

• 3/2

• -2/3