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Reduce the equation 3x – 2y + 6 = 0 to the intercept form and find the x and y - intercepts.

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Given: equation is 3x − 2y + 6 = 0 

Concept Used: 

Line in intercepts form is \(\frac{x}{a}+\frac{y}{b}=1\) ( a and b are x and y intercepts resp.)

Explanation:

3x − 2y = - 6

 \(\frac{3}{-6}x+\frac{2y}{6}=1\) [Dividing both sides by - 6]

\(\frac{x}{-2}+\frac{y}{3}=1\)

Thus, the intercept form of the given line 

∴ x - intercept = −2 and y - intercept = 3

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