Slope Of Parallel And Perpendicular Lines
Muhtasari
Two lines can run side by side forever or cross at a perfect right angle, and their slopes tell you which. A single quick comparison of slopes settles whether lines are parallel, perpendicular or neither.
In this lesson you will use the slope to recognize and create parallel and perpendicular lines: parallel lines share a slope, and perpendicular slopes are negative reciprocals of each other.
Malengo
- Use the slope conditions for parallel and perpendicular lines, and find the equation of a line parallel or perpendicular to a given line through a given point.
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Tathmini ya Somo
Hongera kwa kukamilisha somo la Slope Of Parallel And Perpendicular Lines. 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.
- Two parallel lines have: A. equal slopes B. slopes multiplying to -1 C. equal y-intercepts D. opposite slopes Answer: A
- A line has slope 2. The slope of a line perpendicular to it is: A. 2 B. -2 C. 1/2 D. -1/2 Answer: D
- Which line is parallel to y = 3x + 1? A. y = -3x + 1 B. y = 3x + 5 C. y = (1/3)x D. y = x + 3 Answer: B
- For two perpendicular lines, the product of their slopes is: A. 0 B. 1 C. -1 D. equal Answer: C
- A line has slope -4. A perpendicular line has slope: A. -4 B. 4 C. 1/4 D. -1/4 Answer: C
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
Find the Equation of a Line
Find an equation of the line given the slope and y y -intercept
"Elementary Algebra: Find the 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/4-6-find-the-equation-of-a-line. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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