Mathematics - International - 0607 CIE

Gradient Of Linear Graphs

Gbogbo ọrọ náà

The gradient of a line measures its steepness: how much it rises for each step across. It is one of the most useful numbers in mathematics because it captures a rate of change, and it is the key to writing the equation of a straight line.

In this lesson you will find the gradient of a straight line, and (at Extended) calculate it from the coordinates of two points using the rise-over-run formula.

Ebumnobi

  1. Find the gradient of a straight line.
  2. Calculate the gradient of a straight line from the coordinates of two points on it. (Extended only)

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

Gradient turns the steepness of a line into a single number, which is exactly what you need to describe its equation and to read rates of change such as speed from a graph.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Gradient Of Linear Graphs. 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. Find the gradient of the line through (1, 1) and (3, 5). A. 1 B. 2 C. 3 D. 4 Answer: B
  2. The gradient is calculated as: A. run / rise B. rise / run C. rise x run D. rise + run Answer: B
  3. A line slopes downwards from left to right. Its gradient is: A. positive B. negative C. zero D. undefined Answer: B
  4. Find the gradient of the line through (2, 3) and (4, 11). A. 2 B. 4 C. 8 D. 14 Answer: B
  5. A horizontal line has a gradient of: A. 1 B. -1 C. 0 D. infinity Answer: C

Rue ajuju ndi a n'ime ngwa ahu

Rue ajuju ndi a n'ime ngwa ahu

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