Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

Asked by Abhisek | 1 year ago |  107

##### Solution :-

Given: the line cuts off equal intercepts on the coordinate axes i.e. a = b.

We know that equation of the line intercepts a and b on x-and y-axis, respectively, which is

$$\dfrac{x}{a}+\dfrac{y}{b}=1$$

So, $$\dfrac{x}{a}+\dfrac{y}{a}=1$$

x + y = a … (1)

Given: point (2, 3)

2 + 3 = a

a = 5

Substitute value of ‘a’ in (1), we get

x + y = 5

x + y – 5 = 0

The equation of the line is x + y – 5 = 0.

Answered by Pragya Singh | 1 year ago

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