This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Ili kupata mteremko (gradient) wa mstari, tunahitaji kuweka mlinganyo katika mfumo wa \(y = mx + c\), ambapo \(m\) ni mteremko. Hatua ya 1: Panga upya mlinganyo ili kumtenga \(y\). Mlinganyo uliotolewa ni: 2x - 3y - 6 = 0 Hamisha vigezo vya \(x\) na namba isiyobadilika upande wa kulia wa mlinganyo: -3y = -2x + 6 Hatua ya 2: Gawanya pande zote mbili kwa mgawo wa \(y\), ambao ni \(-3\). (-3y)/(-3) = (-2x)/(-3) + (6)/(-3) y = (2)/(3)x - 2 Hatua ya 3: Tambua mteremko (\(m\)). Kwa kulinganisha mlinganyo \(y = (2)/(3)x - 2\) na mfumo wa \(y = mx + c\), tunaona kwamba mteremko \(m\) ni \((2)/(3)\). Mteremko wa mstari ni \((2)/(3)\). Drop the next question.