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Mathematics

Write down the gradient and the intercept on the y-axis of the line 3y + 2x = 12.

Straight Line Eq

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Answer

Given, 3y + 2x = 12

⇒ 3y = -2x + 12

⇒ y = −23x+4-\dfrac{2}{3}x + 4

Comparing the above equation with y = mx + c we get,

m = −23-\dfrac{2}{3} and c = 4.

Hence, the gradient and intercept on the y-axis of the line 3y + 2x = 12 is −23-\dfrac{2}{3} and 4 respectively.

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