Question

find the equation of line passing through [4,5] and making equal intercept in the axes

Answer 1

Let the equal intercepts on the axes be a=a

Equation of the line is

a

x

+

a

y

=1

⇒x+y=a

The line passes through (4,5)

∴ substituting (4,5) in the equation

4+5=a

⇒a=9

The required equation is x+y=9 or x+y−9=0