Module 4 Parallel & Perpendicular Lines

__?__ never intersect and have equal slopes.

• parallel lines.

• perpendicular lines.

• coordinate proof.

• subscript notation.

Tags

CCSS.HSG.CO.A.1

Formulas with __?__ use small numbers on the lower right corner of variables to help identify different parts of the equation.

• subscript notation.

• superscript notation.

• exponential notation.

• scientific notation.

Tags

CCSS.6.EE.A.1

__?__ intersect at 90° angles and have opposite reciprocal slopes.

• coordinate proof

• parallel lines

• perpendicular lines

• subscript notation

Tags

CCSS.HSG.CO.A.1

A __?__ uses geometry and algebra to show each step of a mathematical conclusion.

• coordinate proof

• inductive reasoning

• deductive reasoning

• geometric construction

Write an equation for a line parallel to and a line perpendicular to the given line: 3x - y = 9. MUST SHOW WORK!

• Parallel: 3x - y = 5, Perpendicular: x + 3y = 9

• Parallel: 3x - y = 12, Perpendicular: x - 3y = 9

• Parallel: 3x - y = 0, Perpendicular: 3x + y = 9

• Parallel: 3x - y = 15, Perpendicular: y = 3x + 9

Which of the following equations represents a line parallel to y = -2x + 5?

• y = -2x + 3

• y = 2x - 5

• y = -1/2x + 5

• y = 1/2x - 3

What is the equation of a line parallel to the line 4x + 5y = 2? MUST SHOW WORK!

• 4x + 5y = 10

• 5x + 4y = 2

• 4x - 5y = 2

• 5x - 4y = 10

Write an equation for a line parallel to and a line perpendicular to the given line: -6x + 2y = -7. MUST SHOW WORK!

• Parallel: y = 3x - 7/2, Perpendicular: y = -1/3x + 7/2

• Parallel: y = 3x + 7/2, Perpendicular: y = -1/3x - 7/2

• Parallel: y = 3x + 7/2, Perpendicular: y = 1/3x - 7/2

• Parallel: y = -3x + 7/2, Perpendicular: y = 1/3x - 7/2

Write an equation for a line parallel and a line perpendicular to the given line that passes through the given point. 2x + 3y = 6; (-2, -6)

MUST SHOW WORK!!

• Parallel: 2x + 3y = -22; Perpendicular: 3x - 2y = -18

• Parallel: 2x + 3y = -18; Perpendicular: 3x - 2y = -22

• Parallel: 2x + 3y = -22; Perpendicular: 3x - 2y = 18

• Parallel: 2x + 3y = 18; Perpendicular: 3x - 2y = -22

Write an equation for a line parallel and a line perpendicular to the given line that passes through the given point. -4y + x + 12 = 0; (5, 3)

MUST SHOW WORK!

• Parallel: y = -0.25x + 4, Perpendicular: y = 4x - 17

• Parallel: y = 0.25x - 2, Perpendicular: y = -4x + 23

• Parallel: y = -0.25x + 2, Perpendicular: y = 4x - 17

• Parallel: y = 0.25x + 3, Perpendicular: y = -4x + 15