Drawing Linear Graphs
Gbogbo ọrọ náà
A straight-line graph is the picture of a linear equation. Every equation of the form \(y = mx + c\) draws as a perfectly straight line, and being able to plot one accurately turns algebra you can only read into a shape you can see, measure and use.
In this lesson you will learn the dependable method examiners reward: build a short table of values, plot the points carefully on labelled axes, and join them with a single straight ruled line. You will see how to choose sensible x-values, how to use a third point as a built-in check, and how to avoid the small plotting slips that cost easy marks.
Ebumnobi
- Draw straight-line graphs for linear equations.
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Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Drawing 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.
- Which point lies on the line y = 2x + 1? A. (1, 1) B. (2, 5) C. (3, 5) D. (0, 2) Answer: B
- For the line y = 3x - 2, what is the value of y when x = 4? A. 5 B. 10 C. 12 D. 14 Answer: B
- The equation 2x + y = 6 is rearranged to make y the subject. Which is correct? A. y = 6 + 2x B. y = 2x - 6 C. y = 6 - 2x D. y = 2x + 6 Answer: C
- A straight-line graph slopes downwards from left to right. What does this tell you about the equation y = mx + c? A. c is negative B. c is positive C. m is negative D. m is positive Answer: C
- What is the smallest number of plotted points you should use to draw a reliable straight-line graph? A. 1 B. 2 C. 3 D. 5 Answer: C
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Graph Linear Equations in Two Variables
Recognize the relationship between the solutions of an equation and its graph.
"Elementary Algebra: Graph Linear Equations in Two Variables" 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/4-2-graph-linear-equations-in-two-variables. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Drawing Linear Graphs? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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