Question

find the equation of the line which cutts off equal intercepts on the co ordinate axis​

Answer 1

Answer:

Equation formed by Two intercepts is

a

x

+

b

y

=1

Given that, a=b

Since the line is passing through the point (2,3)

So,

a

2

+

a

3

=1

⟹

a

5

=1

∴a=5

Hence, b=5

The equation of the line is

5

x

+

5

y

=1 (or) x+y−5=0

hope it helps!

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Answer 2

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Equation of a line by intercept form is :

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

Where a = x-intercept

&b = y-intercept

Given that x&y intercepts are equal.

a=b

Thus , the equation of the line is

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

(As b = 1)

x + y = a

x + y - a = 0