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
Hey Water, good to see you again. Umeuliza kuhusu kuchora grafu ya mlinganyo nilioupata hapo juu, ambao ni y = -x + 2. Hapa kuna hatua za kuchora grafu hiyo: Step 1: Tambua kizuizi cha y (y-intercept). Katika mlinganyo y = -x + 2, kizuizi cha y ni c = 2. Hii inamaanisha mstari unakata mhimili wa y kwenye pointi (0, 2). Step 2: Tambua mteremko (slope). Mteremko wa mlinganyo y = -x + 2 ni m = -1. Hii inaweza kuandikwa kama (-1)/(1). Mteremko wa (-1)/(1) unamaanisha kuwa kwa kila hatua 1 unayosonga kulia kwenye mhimili wa x, mstari unashuka hatua 1 chini kwenye mhimili wa y. Step 3: Chora kizuizi cha y. Weka alama kwenye pointi (0, 2) kwenye ndege ya kuratibu (coordinate plane). Step 4: Tumia mteremko kupata pointi nyingine. Kuanzia kwenye kizuizi cha y (0, 2), songa hatua 1 kulia (hadi x=1) na hatua 1 chini (hadi y=1). Hii inakupa pointi (1, 1). Unaweza pia kusonga hatua 2 kulia (hadi x=2) na hatua 2 chini (hadi y=0). Hii inakupa pointi (2, 0), ambayo pia ni kizuizi cha x (x-intercept). Step 5: Chora mstari. Chora mstari ulionyooka unaounganisha pointi ulizoweka alama. Grafu itakuwa mstari unaopita kwenye pointi (0, 2) na (2, 0). Tuma swali linalofuata 📸