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Ili kukamilisha majedwali haya, kwanza tunahitaji kupata kanuni (equation) inayounganisha x na y. Tunaweza kutumia jozi ya thamani iliyotolewa (x, y) = (-5, 3) kutoka kwenye jedwali la tatu ili kupata kanuni hii. Step 1: Pata kanuni inayounganisha x na y. Tukichukulia uhusiano wa mstari rahisi wa fomu y = x + c, tunaweza kubadilisha thamani za x na y kutoka kwenye jozi (-5, 3): 3 = -5 + c Ili kupata c, ongeza 5 pande zote mbili za mlinganyo: c = 3 + 5 c = 8 Hivyo, kanuni inayotumika kwa majedwali yote ni y = x + 8. Step 2: Kamilisha Jedwali (a). Kwa kutumia kanuni y = x + 8, tunabadilisha kila thamani ya x ili kupata y: • Wakati x = 2: y = 2 + 8 = 10 • Wakati x = 6: y = 6 + 8 = 14 • Wakati x = 10: y = 10 + 8 = 18 • Wakati x = 14: y = 14 + 8 = 22 Jedwali (a) lililokamilika: |c|c| x & y \\ 2 & 10 \\ 6 & 14 \\ 10 & 18 \\ 14 & 22 \\ Step 3: Kamilisha Jedwali (b). Kwa kutumia kanuni y = x + 8, tunabadilisha kila thamani ya x ili kupata y: • Wakati x = 1: y = 1 + 8 = 9 • Wakati x = 2: y = 2 + 8 = 10 • Wakati x = 3: y = 3 + 8 = 11 • Wakati x = 4: y = 4 + 8 = 12 Jedwali (b) lililokamilika: |c|c| x & y \\ 1 & 9 \\ 2 & 10 \\ 3 & 11 \\ 4 & 12 \\ Step 4: Kamilisha Jedwali la tatu (lenye x=-5). Kwa kutumia kanuni y = x + 8, tunabadilisha kila thamani ya x ili kupata y: • Wakati x = -5: y = -5 + 8 = 3 (Hii inalingana na thamani iliyotolewa) • Wakati x = 12: y = 12 + 8 = 20 • Wakati x = 15: y = 15 + 8 = 23 • Wakati x = 25: y = 25 + 8 = 33 Jedwali la tatu lililokamilika: |c|c| x & y \\ -5 & 3 \\ 12 & 20 \\ 15 & 23 \\ 25 & 33 \\ Tuma swali linalofuata 📸