Gradient Of Linear Graphs
Muhtasari
The gradient of a line measures its steepness: how much it rises for each step across. It is one of the most useful numbers in mathematics because it captures a rate of change, and it is the key to writing the equation of a straight line.
In this lesson you will find the gradient of a straight line, and (at Extended) calculate it from the coordinates of two points using the rise-over-run formula.
Malengo
- Find the gradient of a straight line.
- Calculate the gradient of a straight line from the coordinates of two points on it. (Extended only)
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Tathmini ya Somo
Hongera kwa kukamilisha somo la Gradient 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.
- Find the gradient of the line through (1, 1) and (3, 5). A. 1 B. 2 C. 3 D. 4 Answer: B
- The gradient is calculated as: A. run / rise B. rise / run C. rise x run D. rise + run Answer: B
- A line slopes downwards from left to right. Its gradient is: A. positive B. negative C. zero D. undefined Answer: B
- Find the gradient of the line through (2, 3) and (4, 11). A. 2 B. 4 C. 8 D. 14 Answer: B
- A horizontal line has a gradient of: A. 1 B. -1 C. 0 D. infinity Answer: C
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
Understand Slope of a Line
Use geoboards to model slope
"Elementary Algebra: Understand Slope 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/4-4-understand-slope-of-a-line. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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