Slope of Parallel and Perpendicular Lines Explained

This video tutorial explores the relationship between parallel and perpendicular lines on a coordinate grid. It explains that parallel lines have the same slope, while perpendicular lines have opposite reciprocal slopes. The video demonstrates how to find the slope of lines parallel or perpendicular to a given line by converting equations into slope-intercept form. Key properties of these lines are highlighted, such as parallel lines never intersecting and perpendicular lines meeting at right angles.

What is a common characteristic of parallel lines?

• They have opposite slopes

• They intersect at a right angle

• They never intersect

• They have the same slope

What is the slope of a line parallel to a line with a slope of -2/3?

• -2/3

• 2/3

• -3/2

• 3/2

What defines perpendicular lines?

• Lines with the same slope

• Lines that never intersect

• Lines that intersect at a 90-degree angle

• Lines that are parallel to each other

How do you find the slope of a line parallel to another given line?

• By dividing the slope of the given line

• By finding the opposite reciprocal slope

• By finding the same slope

• By subtracting the slope of the given line

What property do parallel lines share?

• They intersect at some point

• They are always vertical

• They have reciprocal slopes

• They have identical slopes

What is the slope of a line that is parallel to a line with an equation of 5y - 2x = 7?

• -5/2

• 2/5

• -2/5

• 5/2

What is the slope of a line perpendicular to a line with a slope of 3/4?

• -3/4

• 3/4

• -4/3

• 4/3

What is the slope of a line perpendicular to a line with a slope of -3/2?

• 3/2

• 2/3

• -2/3

• -3/2

How can you determine if two lines are perpendicular?

• If one's slope is the opposite reciprocal of the other's

• If they never intersect

• If they have the same slope

• If they intersect at a 45-degree angle

What is the slope of a line perpendicular to a line with an equation of 3x - 4y = 2?

• -4/3

• -3/4

• 3/4

• 4/3