Question

Find the equation of the line passing through the point

4, 5

and having equal non-zero intercepts

on the coordinate axes.​

Answer 1

Answer:

Let intercept on x axis be 'a' units

and intercept on y axis is 'a' units.

Therefore the equation of line is

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

x + y = a .....[1]

Since [1] passes through (4, 5)

so 4 + 5 = a

a = 9.

So equation [1] become

$x + y = 9.$

Answer 2

Answer:

$x + y = 9$

is the answer........................