Find the gradient of 4y−x=4÷3

Mathematics

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Answer

14\frac{1}{4}

Step-by-step solution

4 steps

Ili kupata mteremko (gradient) wa mstari, tunahitaji kuuweka mlinganyo katika mfumo wa y=mx+cy = mx + c, ambapo mm ni mteremko.

  1. Panga upya mlinganyo 4y−x=4÷34y - x = 4 \div 3.

    Kwanza, andika upya 4÷34 \div 3 kama 43\frac{4}{3}:

    4y−x=434y - x = \frac{4}{3}
  2. Ongeza xx pande zote mbili za mlinganyo ili kutenga 4y4y

    4y=x+434y = x + \frac{4}{3}
  3. Gawanya pande zote mbili za mlinganyo kwa 4 ili kutenga yy

    4y4=x4+434\frac{4y}{4} = \frac{x}{4} + \frac{\frac{4}{3}}{4} y=14x+43×4y = \frac{1}{4}x + \frac{4}{3 \times 4} y=14x+412y = \frac{1}{4}x + \frac{4}{12} y=14x+13y = \frac{1}{4}x + \frac{1}{3}
  4. Tambua mteremko (gradient).

    Katika mfumo y=mx+cy = mx + c, mm ni mteremko. Kutoka mlinganyo wetu y=14x+13y = \frac{1}{4}x + \frac{1}{3}, tunaona kwamba m=14m = \frac{1}{4}.

    Mteremko ni 14\frac{1}{4}.

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