Equations of Parallel and Perpendicular Lines Explained

This video tutorial reviews the concepts of slopes, including positive, negative, zero, and undefined slopes. It explains the conditions for lines to be parallel or perpendicular, focusing on slope comparisons. The tutorial covers different forms of line equations, such as slope-intercept and point-slope forms, and provides guidance on graphing lines. It also includes examples of determining line relationships and writing equations for lines and perpendicular bisectors.

What is the slope of a line that rises from left to right?

• Positive

• Negative

• Zero

• Undefined

Which type of line has an undefined slope?

• Positive

• Vertical

• Negative

• Horizontal

What is the condition for two non-vertical lines to be parallel?

• Their slopes multiply to zero

• Their slopes are reciprocals

• They have opposite slopes

• They have the same slope

What is the relationship between the slopes of two perpendicular lines?

• They are opposite reciprocals

• They are equal

• They are opposite

• They are reciprocals

What is the general form of a line equation?

• y = b

• x = a

• ax + by = c

• y = mx + b

In the slope-intercept form y = mx + b, what does 'm' represent?

• The constant term

• The slope

• The x-intercept

• The y-intercept

How would you graph a line with a slope of -1/2 through the point (-3, 4)?

• Down 2, right 1

• Up 2, right 1

• Down 1, right 2

• Up 1, right 2

If two lines have slopes of 4/5 and -5/4, what is their relationship?

• Coinciding

• Neither

• Perpendicular

• Parallel

What is the equation of a line passing through (5, -7) and perpendicular to x = -2?

• y = -7

• y = 5

• x = -2

• x = 5

What is the first step in finding the perpendicular bisector of a line segment?

• Find the x-intercept

• Find the y-intercept

• Find the midpoint

• Find the slope