Mathematics (US) - 0444 CIE

Slope Of Parallel And Perpendicular Lines

Gbogbo ọrọ náà

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.

Ebumnobi

  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.

Nkuzi Olu

Gee ntị na nkuzi a na ngwa

Maapụ uche

E seela isiokwu a ka ị hụ otu echiche si ejikọta.

Mepee maapụ uche na ngwa

Kaadị ncheta

Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.

Mee omume kaadị ndị a na ngwa

Akwụkwọ Ọmụmụ

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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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Slope Of Parallel And Perpendicular Lines. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  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

Rue ajuju ndi a n'ime ngwa ahu

Rue ajuju ndi a n'ime ngwa ahu

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