Mathematics - 0580 CIE

Equations Of Linear Graphs

Gbogbo ọrọ náà

Every straight line can be captured in one tidy equation, \(y = mx + c\), where two numbers tell you everything: the gradient and where the line crosses the y-axis. Read those two numbers and you can draw the line; draw the line and you can read them back.

In this lesson you will interpret and find the equation of a straight-line graph in the form \(y = mx + c\), identifying the gradient and the y-intercept.

Ebumnobi

  1. Interpret and obtain the equation of a straight-line graph in the form y = mx + c.
  2. Interpret and obtain the equation of a straight-line graph. (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

The equation y = mx + c is the compact summary of a whole line. Reading and writing it connects gradient, intercept and graph, and is the basis of parallel, perpendicular and simultaneous-line work.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Equations 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. In y = mx + c, what does m represent? A. the y-intercept B. the gradient C. the x-intercept D. a constant of 0 Answer: B
  2. What is the gradient of y = 2x + 1? A. 1 B. 2 C. 3 D. -1 Answer: B
  3. Where does y = 2x + 1 cross the y-axis? A. (0, 1) B. (1, 0) C. (0, 2) D. (2, 0) Answer: A
  4. A line has gradient 3 and y-intercept -2. Its equation is: A. y = -2x + 3 B. y = 3x - 2 C. y = 3x + 2 D. y = 2x - 3 Answer: B
  5. What is the y-intercept of y = 4x + 5? A. 4 B. 5 C. -5 D. 0 Answer: B

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Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Equations Of Linear Graphs? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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