Question

find the coordinate where the line x-y=8 will intersect y-axis

Answer 1

On the y axis x co-ordinate = 0

x = 0 substituting in equation

0 - y = 8

y = -8

hope it helped you

Answer 2

Equation of straight line is:-

x - y = 8

Reduce this equation in intercepts form i.e

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

To reduce this equation divide the equation by 8.

So,

$\frac{x}{8} + \frac{( - y)}{8} = \frac{8}{8} \\ \\ \frac{x}{8} + \frac{(y)}{( - 8)} = 1$

So intercept on Y axis = - 8.

Thus the coordinate where this line intersect Y axis is (0, - 8).

Hope it helps.