How do you graph using the intercepts for #-6x+5y=1#?
First of all, observe that your equation represents a line, since it can be written as
This is important, because we know that two points are sufficient to draw a line. And these two points will be the intercepts of the line.
The intercepts are the points in which the line crosses one of the axis. By definition, the axis are defined as the set of points where one coordinate equals zero: the
So, if we set
If we set
Connect these two points and you have your line!