Question

Find the equation of the line whose x intercept is 2 and y intercept is -3 [step by step explanation]​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer: 3x - 2y - 6 = 0, is the equation of required line.

Concept : Equation of straight lines

Given : x - intercept = 2, y - intercept = - 3

To Find : Equation of straight line

Step-by-step explanation:

We know that, equation of straight line is :

⇒ $\frac{x}{a} + \frac{y}{b} = 1$

where, a is the x - intercept

           b is the y - intercept

Given, a = 2, b = -3

∴ Equation of line :

⇒  $\frac{x}{2} + \frac{y}{- 3} = 1$

⇒ $\frac{-3x + 2y}{-6} = 1$

⇒ $- 3x + 2y = -6$

⇒ 3x - 2y = 6

⇒ 3x - 2y - 6 = 0  This is the required equation of line.

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