What is the gradient of the line 2x3y6=0

September 1, 2026Mathematics

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Answer

\frac{2}{3}

3 steps

Ili kupata mteremko (gradient) wa mstari, tunahitaji kuweka mlinganyo katika mfumo wa $y = mx + c$ , ambapo $m$ ni mteremko.

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:
$-3y = -2x + 6$
Gawanya pande zote mbili kwa mgawo wa $y$ , ambao ni $-3$ .
$\frac{-3y}{-3} = \frac{-2x}{-3} + \frac{6}{-3}$ $y = \frac{2}{3}x - 2$
Tambua mteremko ( $m$ ).
Kwa kulinganisha mlinganyo $y = \frac{2}{3}x - 2$ na mfumo wa $y = mx + c$ , tunaona kwamba mteremko $m$ ni $\frac{2}{3}$ .

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