Exploring Equations of Parallel and Perpendicular Lines

The video tutorial explains the concepts of parallel and perpendicular slopes, highlighting that parallel lines have the same slope while perpendicular lines have slopes that are opposite reciprocals. It provides examples and step-by-step instructions on writing equations for lines that are parallel or perpendicular, including handling equations with fractions using fraction busters.

What does the slope of a line represent?

• The change in y over the change in x

• The change in x over the change in y

• The difference between x and y

• The sum of x and y

What is true about the slopes of parallel lines?

• They are equal

• They are opposite reciprocals

• They are always zero

• One is positive and one is negative

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

• -2/3

• 3/2

• -3/2

• 2/3

Given a line with a slope of 4, what is the slope of a line perpendicular to it?

• 4

• 1/4

• -1/4

• -4

What is the slope of a line parallel to a line with a slope of 5/8?

• 8/5

• -5/8

• -8/5

• 5/8

When writing the equation of a line, what is the first step?

• Find the y-intercept

• Find the slope

• Pick an ordered pair

• Solve for b

In the equation y = mx + b, what does 'm' represent?

• The y-coordinate

• The slope

• The x-coordinate

• The y-intercept

If a line has a slope of 3 and passes through the point (6, 9), what is the y-intercept?

• 18

• 9

• -9

• -18

What is the slope of a line perpendicular to a line with a slope of 7/3?

• -3/7

• 3/7

• -7/3

• 7/3

If a line has a slope of -7/2 and passes through the point (3, -7), what is the y-intercept?

• -7

• 7

• -7/2

• 7/2