Characteristics of Parallel and Perpendicular Lines

The video tutorial introduces parallel and perpendicular lines, explaining their characteristics. Parallel lines have the same slope and never intersect, while perpendicular lines intersect at a 90-degree angle with opposite reciprocal slopes. The tutorial provides practice in finding perpendicular slopes and determining if lines are parallel, perpendicular, or neither using given slopes and equations.

What is the defining characteristic of parallel lines?

• They have the same slope

• They never intersect

• They have opposite reciprocal slopes

• They intersect at a 90-degree angle

How do you find the perpendicular slope to a given slope?

• Multiply the slope by -1

• Take the reciprocal and change the sign

• Divide the slope by -1

• Add one to the slope

If two lines are perpendicular, what is true about their slopes?

• They are both positive

• They are the same

• They are opposite reciprocals

• They add up to zero

Using the slope formula, how do you determine if two lines are parallel?

• Their slopes are both zero

• Their slopes are equal

• Their slopes are unequal

• Their slopes are opposite reciprocals

What does an undefined slope indicate about a line?

• The line is horizontal

• The line is vertical

• The line has a slope of zero

• The line intersects the y-axis

How do you convert an equation to slope-intercept form?

• Subtract the constant term from both sides

• Isolate y on one side of the equation

• Divide each term by the coefficient of y

• Multiply each term by the coefficient of x

What relationship do two lines have if their slopes are the same?

• They are perpendicular

• They are coincident

• They are parallel

• They are intersecting

What is the slope of a horizontal line?

• One

• Negative one

• Zero

• Undefined

If two lines have undefined slopes, what does this imply about their orientation?

• They are parallel

• They are intersecting at one point

• They are horizontal

• They are perpendicular

What is the relationship between two lines if one has a slope of 1 and the other has a slope of -1?

• They are intersecting but not perpendicular

• They are perpendicular

• They are the same line

• They are parallel