Graphs And Coordinate Geometry
Gbogbo ọrọ náà
Every equation in x and y has a shape hiding inside it. Coordinate geometry is the bridge between the algebra and the picture: read an equation correctly and you can predict whether its graph is a straight line, a curving parabola, a cubic wave or a two-branched reciprocal curve before a single point is plotted.
This topic covers plotting Cartesian coordinates, reading gradient and intercept straight from y = mx + c, sketching polynomial and reciprocal graphs from a table of values, using where two graphs cross to solve equations, and estimating the gradient of a curve using a tangent.
Ebumnobi
- Use rectangular Cartesian coordinates
- Recognise that equations of the form y = mx + c are straight-line graphs with gradient m and intercept on the y-axis at (0, c)
- Draw and interpret graphs of polynomial and reciprocal functions
- Use the intersection of two curves (graphs) to solve equations
- Determine the gradients of graphs by drawing tangents
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E seela isiokwu a ka ị hụ otu echiche si ejikọta.
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Akwụkwọ Ọmụmụ
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Graphs And Coordinate Geometry. 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.
- What is the gradient of the line y = 5x + 2? A) 2 B) 5 C) -5 D) 7 Answer: B
- What is the y-intercept of the line y = -3x + 8? A) (0, -3) B) (0, 8) C) (8, 0) D) (0, -8) Answer: B
- The line through (1, 4) and (3, 10) has gradient: A) 2 B) 3 C) 6 D) 1/3 Answer: B
- The graph of y = 4/x is best described as: A) a straight line through the origin B) a parabola C) a curve with two branches that never touch the axes D) a cubic curve Answer: C
- The curves y = x^2 and y = 2x + 3 intersect where x^2 - 2x - 3 = 0. What are the x-coordinates of the intersection points? A) x = 1, x = -3 B) x = 3, x = -1 C) x = -3, x = -1 D) x = 1, x = 3 Answer: B
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
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Akụkụ akwụkwọ
Use the Slope–Intercept Form of an Equation of a Line
Recognize the relation between the graph and the slope–intercept form of an equation of a line
"Elementary Algebra: Use the Slope–Intercept Form of an Equation of a Line" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/4-5-use-the-slope-intercept-form-of-an-equation-of-a-line. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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Akụkụ akwụkwọ
The Rectangular Coordinate Systems and Graphs
Plot ordered pairs in a Cartesian coordinate system.
"Algebra and Trigonometry: The Rectangular Coordinate Systems and Graphs" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/2-1-the-rectangular-coordinate-systems-and-graphs. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
Ndị otu ndị ọzọ bipụtara ha n'okpuru ikike mepere emepe, anyị na-ekele ha dị ka ha si chọọ. Njikọ na-emepe saịtị ha.
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Graphs And Coordinate Geometry? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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