Graphs And Coordinate Geometry
Bayani Gaba-gaba
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.
Manufura
- 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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Nazarin Darasi
Barka da kammala darasi akan Graphs And Coordinate Geometry. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.
Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.
Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.
- 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
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
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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Sashen littafi
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
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