For the line 2x + 3y = 6
(i) x-intercept = ......
(ii) y-intercept = ......

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Solution

Line: $2 x + 3 y = 6$
(i) Putting $y = 0$ in the equation , we get:
$2 x = 6$
$\Rightarrow x = \frac{6}{2} = 3$
Hence, $x$ -intercept = 3

(ii) Putting $x = 0$ in the equation, we get:
$3 y = 6$
$\Rightarrow y = \frac{6}{3} = 2$
Hence, $y$ -intercept = 2

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