Find the equation of a straight line passing through the point (0,4) and parallel toa line whose line is 3y−5x=5
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3 stepsIli kupata mlinganyo wa mstari ulionyooka, tunahitaji mteremko (slope) na sehemu ya kukata y (y-intercept) au nukta moja na mteremko.
Tafuta mteremko wa mstari uliotolewa.
Mstari uliotolewa ni . Tunahitaji kuuweka katika mfumo wa , ambapo ni mteremko.
Ongeza pande zote mbili:
Gawanya kwa 3 pande zote mbili:
Mteremko wa mstari huu ni .
Tambua mteremko wa mstari mpya.
Kwa kuwa mstari mpya unalingana (parallel) na mstari uliotolewa, una mteremko sawa.
Hivyo, mteremko wa mstari mpya ni .Tumia nukta na mteremko kupata mlinganyo wa mstari.
Nukta inamaanisha kuwa wakati , . Hii ndiyo sehemu ya kukata y (y-intercept), kwa hivyo .
Tumia mfumo wa mlinganyo wa mstari :
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