Question

Graph the equations to solve the system Y equals 1/3 X +6 and why equals 1/3 X +4

Answer 1

For this case we have the following functions:
 y = (1/3) x + 6
 y = (1/3) x + 4
 We note that both lines have the same slope in this case given by:
 m = 1/3
 Therefore, the lines are parallel. As they are parallel, they are not cut at any point.
 Thus, the system of equations has no solution.
 Answer:
 The system has no solution (parallel lines)

Answer 2

Graph the equations to solve the system Y equals 1/3 X +6 and y equals 1/3 X +4

Following the formula: y=mx+b,
where:
m= slope
b=y-intercept
As observed in the given equations, they have the same slope which is equal to 1/3 but each have different y-intercept which is 6 and 4.

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. 

Upon graphing, it had seen that the two functions are parallel.
See attached picture for the graph.