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) na sehemu ya kukata y (y-intercept) ya mstari, tunahitaji kuuweka mlinganyo katika mfumo wa y = mx + c, ambapo m ni mteremko na c ni sehemu ya kukata y. Step 1: Panga upya mlinganyo 3y = 5x - 3 ili y iwe peke yake upande mmoja. Gawanya pande zote mbili za mlinganyo kwa 3: (3y)/(3) = (5x)/(3) - (3)/(3) y = (5)/(3)x - 1 Step 2: Tambua mteremko (gradient). Katika mfumo y = mx + c, m ni mteremko. Kutoka mlinganyo wetu y = (5)/(3)x - 1, tunaona kwamba m = (5)/(3). Mteremko ni (5)/(3). Step 3: Tambua sehemu ya kukata y (y-intercept). Katika mfumo y = mx + c, c ni sehemu ya kukata y. Kutoka mlinganyo wetu y = (5)/(3)x - 1, tunaona kwamba c = -1. Sehemu ya kukata y ni -1. That's 2 down. 3 left today — send the next one.