What will be the equation of the line, which makes intercepts -5 on x-axis and -6 on the y-axis. Option 1: 5x + 6y - 30 = 0 Option 2: 6x + 5y - 30 = 0 Option 3: 5x + 6y + 30 = 0 Option 4: 6x + 5y + 30 = 0

Answer: 6x + 5y + 30 = 0. Solution: Intercept form: x/a + y/b = 1 with a = -5, b = -6. So x/(-5) + y/(-6) = 1. Multiplying by -30 gives 6x + 5y = -30, i.e. 6x + 5y + 30 = 0.

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What will be the equation of the line, which makes intercepts -5 on x-axis and -6 on the y-axis.

$5x + 6y - 30 = 0$

$6x + 5y - 30 = 0$

$5x + 6y + 30 = 0$

$6x + 5y + 30 = 0$

✅ Correct Option: 4

Intercept form: $\dfrac{x}{a} + \dfrac{y}{b} = 1$ with $a = -5$ , $b = -6$ . So $\dfrac{x}{-5} + \dfrac{y}{-6} = 1$ . Multiplying by $-30$ gives $6x + 5y = -30$ , i.e. $6x + 5y + 30 = 0$ .

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What will be the equation of the line, which makes intercepts -5 on x-axis and -6 on the y-axis.

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