Mathematics (US) - 0444 CIE

Slope Of Parallel And Perpendicular Lines

Akopọ

Two lines can run side by side forever or cross at a perfect right angle, and their slopes tell you which. A single quick comparison of slopes settles whether lines are parallel, perpendicular or neither.

In this lesson you will use the slope to recognize and create parallel and perpendicular lines: parallel lines share a slope, and perpendicular slopes are negative reciprocals of each other.

Awọn Afojusun

  1. Use the slope conditions for parallel and perpendicular lines, and find the equation of a line parallel or perpendicular to a given line through a given point.

Akọ̀wé Ẹ̀kọ́

Parallel and perpendicular relationships are the backbone of coordinate geometry, from proving shapes to building accurate drawings. The slope rules make these checks fast and exact.

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Oriire fun ipari ẹkọ lori Slope Of Parallel And Perpendicular Lines. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. Two parallel lines have: A. equal slopes B. slopes multiplying to -1 C. equal y-intercepts D. opposite slopes Answer: A
  2. A line has slope 2. The slope of a line perpendicular to it is: A. 2 B. -2 C. 1/2 D. -1/2 Answer: D
  3. Which line is parallel to y = 3x + 1? A. y = -3x + 1 B. y = 3x + 5 C. y = (1/3)x D. y = x + 3 Answer: B
  4. For two perpendicular lines, the product of their slopes is: A. 0 B. 1 C. -1 D. equal Answer: C
  5. A line has slope -4. A perpendicular line has slope: A. -4 B. 4 C. 1/4 D. -1/4 Answer: C

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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