Find the equation of the line cutting off intercepts −54 and 45 on the X and Y axes respectively.
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Solution
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X-intercept=a=−54
Y-intercept=b=45
Equation of the line is xa+yb=1
x−54+y45=1
⇒−4x5+5y4=1
⇒−16x+25y=20
⇒16x−25y=−20
∴ Equation of the line is 16x−25y+20=0
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