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

Tags

CCSS.8.EE.B.5

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

Tags

CCSS.8.EE.B.5

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

Tags

CCSS.8.EE.B.6

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

• 4

• 1/4

• -1/4

• -4

Tags

CCSS.8.EE.B.6

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

Tags

CCSS.8.EE.B.5

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

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

• The y-coordinate

• The slope

• The x-coordinate

• The y-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

• 18

• 9

• -9

• -18

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

Tags

CCSS.8.EE.B.6

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3