Understanding Perpendicular Lines and Their Slopes

What is a key characteristic of perpendicular lines?

• They are always horizontal.

• They never intersect.

• They meet at right angles.

• They have the same slope.

How can you determine if two lines are perpendicular?

• By checking if they intersect at any angle.

• By checking if they are parallel.

• By checking if their slopes are negative reciprocals.

• By checking if they have the same slope.

What does it mean for two numbers to be negative reciprocals?

• Their product is negative one.

• Their sum is zero.

• Their product is one.

• Their product is zero.

Why are the slopes of perpendicular lines negative reciprocals?

• Because they are parallel.

• Because they form a right angle when multiplied.

• Because they have the same y-intercept.

• Because they intersect at the origin.

In the geometric example, what is the slope of the second line if the first line's slope is 'p over q'?

• q over p

• negative q over p

• negative p over q

• p over q

What is the result when you multiply the slopes of two perpendicular lines?

• One

• Infinity

• Negative one

• Zero

What is the slope of a line perpendicular to a line with a slope of 1/2?

• 2

• 1/2

• -2

• -1/2

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

• -3

• -1/3

• 1/3

• 3

Which form is used to write the equation of a line given a point and a slope?

• Point-slope form

• Intercept form

• Slope-intercept form

• Standard form

What is the slope of a line perpendicular to a vertical line?

• Negative one

• One

• Undefined

• Zero