Question 101519
In order to find y and x intercepts, you first need to know what they mean... What does x intecept mean? It can be represented as point of a line intercepting x axis, if any point is to intercept x axis it's vertcal position(y) has to be 0. On other hand if any point is to intercept y axis it's horizontal position(x) neeeds be 0.

Equation of your line is in implicit form, but we don't mind that. We can determine x intercept by setting y = 0 and y intercept by setting x = 0.

Y intercept
(x = 0)
6*0-36y = 36
-36y = 36
36y = -36
y = -1

x intercept
(y = 0)
6*x-36*0 = 36
6x = 36
x = 6



You can check both results by looking at the graph.

{{{ graph( 500, 400, -5, 10, -5, 5,(1/6)*x-1 ) }}}