Q. 165.0( 5 Votes )

# <span lang="EN-US

Answer :

Concept Used:

The equation of the line with intercepts a and b is

Given:

Here, a – b = 2

a = b + 2 ……(i)

Explanation:

The line is passing through (3,2).

……(ii)

From equation (i) and (ii)

3b + 2b +4 = b2 + 2b

b2 – 3b – 4 = 0

(b – 4)(b + 1) = 0b = 4, -1

Now, from equation (i)

For b = 4, a = 4 + 2 = 6

For b = -1, b = -1 + 2 = 1

Thus the equation of line is

or

x – y = 1 or 2x + 3y = 12

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