Reduce the equation 3x - 2y + 6 = 0 to the intercept form and fin… - Vidyadip

Question

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

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Answer

$\frac{\text{x}}{\text{a}}+\frac{\text{y}}{\text{b}}=1$ 3x - 2y + 6 = 0 3x - 2y = -6 $\frac{-3\text{x}}{-6}-\frac{2\text{y}}{-6}=1$ $\frac{\text{x}}{\frac{-6}{3}}+\frac{\text{y}}{\frac{-6}{-2}}=1$ $\frac{\text{x}}{-2}+\frac{\text{y}}{3}=1$ ⇒ x-intercept = a = -2 y-intercept = b = 3

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