Slope, Parallel, and Perpendicular Lines

This lesson covers how to write equations using parallel and perpendicular lines. It begins with definitions and properties of parallel and perpendicular lines, followed by examples illustrating their slopes. The lesson then explains how to determine if lines are parallel, perpendicular, or neither, and how to write equations for lines that are parallel or perpendicular to a given line. The session concludes with a final problem and summary of key concepts.

What is the definition of parallel lines?

• Lines that intersect at one point

• Lines that intersect to form right angles

• Lines that are not coplanar

• Lines that never intersect and are coplanar

Tags

CCSS.HSG.CO.A.1

What is the definition of perpendicular lines?

• Lines that never intersect and are coplanar

• Lines that intersect to form right angles

• Lines that intersect at one point

• Lines that are not coplanar

Tags

CCSS.8.EE.B.6

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

• 1/3

• -3

• -1/3

• 3

Tags

CCSS.8.EE.B.6

If the slope of a line is -1/2, what is the slope of a line parallel to it?

• -1/2

• -2

• 2

• 1/2

Tags

CCSS.8.EE.C.8B

Given the equations y = 2x + 4 and y = 2x - 8, what is the relationship between the lines?

• Neither

• Parallel

• Perpendicular

• Cannot be determined

Tags

CCSS.8.EE.B.5

What is the slope of the line represented by the equation y = 3/4x - 3?

• 4/3

• -3/4

• 3/4

• -4/3

Tags

CCSS.8.EE.B.6

What is the slope of a line perpendicular to y = 4/3x - 7?

• 4/3

• -3/4

• -4/3

• 3/4

What is the equation of a line parallel to y = -2x + 7 that passes through the point (3, 2)?

• y = 2x - 8

• y = -2x + 2

• y = 2x + 8

• y = -2x + 8

What is the equation of a line perpendicular to y = 2/3x - 6 that passes through the point (2, -1)?

• y = -3/2x - 2

• y = 3/2x - 2

• y = 3/2x + 2

• y = -3/2x + 2

Tags

CCSS.8.EE.B.6

If the slope of line A is 4/9 and the slope of line B is -7/3, are the lines perpendicular?

• Yes, because their slopes are equal

• No, because their slopes are not equal

• No, because their slopes are not opposite reciprocals

• Yes, because their slopes are opposite reciprocals

Tags

CCSS.8.EE.B.6