Drawing Linear Graphs
Muhtasari
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.
Malengo
- Draw straight-line graphs for linear equations.
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Tathmini ya Somo
Hongera kwa kukamilisha somo la Drawing Linear Graphs. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- 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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Fanyia kazi maswali haya kwenye programu
Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
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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Fanya Mazoezi ya Maswali ya Majaribio
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