Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.
The equation of a line in the intercept form is `x/a + y/b = 1` ... (i)
Here, a and b are the intercepts on x and y axes respectively.
It is given thata + b = 9 ⇒ b = 9 – a … (ii)
From equations (i) and (ii), we obtain
If a = 6 and b = 9 – 6 = 3, then the equation of the line is
`x/6 + y/3 = 1 => x +2y - 6 = 0`
If a = 3 and b = 9 – 3 = 6, then the equation of the line is
`x/3 + y/3 = 1 => 2x + y - 6 = 0`
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