Equations Of Linear Graphs
Muhtasari
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.
Malengo
- Interpret and obtain the equation of a straight-line graph in the form y = mx + c.
- Interpret and obtain the equation of a straight-line graph. (Extended only)
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Tathmini ya Somo
Hongera kwa kukamilisha somo la Equations Of 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.
- 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
- What is the gradient of y = 2x + 1? A. 1 B. 2 C. 3 D. -1 Answer: B
- Where does y = 2x + 1 cross the y-axis? A. (0, 1) B. (1, 0) C. (0, 2) D. (2, 0) Answer: A
- 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
- What is the y-intercept of y = 4x + 5? A. 4 B. 5 C. -5 D. 0 Answer: B
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
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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