y intercept is the point at which this line cuts the y axis. At that point, x
will be equal to 0. Substituting for x in the above equation as 0, we get 
. Hence the x intercept coordinates are (0,5).

Similarly:
x intercept is the point at which this line cuts the x axis. At that point, y 
will be equal to 0. Substituting for y in the above equation as 0, we get 
 Hence the x intercept coordinates are 
(-5/6,0).

The graph below shows the x and y intercepts.


 
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation  describes a sloping line. For any 
  equation ax+by+c = 0, slope is .
X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x =  c/a. -5/6 = -0.833333333333333.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -5/-1 = 5.
Slope is -6/-1 = 6.
 Equation in slope-intercept form: y=6*x+5.




Hope you got it now :)