What are the charateristics of the graph of the line: y = 1/3 x – 9

The form of the equation of the line you,ve provided is
the slope intercept form.

y = mx + b, where m is the slope
of the line and b is y intercept, we'll get:

Comparing both
forms:

m = 1/3 and y = -9

Now,
we'll determine the intrcepting point of the line with x and y
axis.

When the line is intercepting x axis, y coordinate is
0.

x/3 - 9 = 0

x/3 =
9

x = 27

The intrercepting
point with x axis is: (27,0).

The intercepting point with y
axis is (0,-9).

Therefore, the
characteristics of the given line are the intercepting points with x and y axis and the
angle made by the line to x axis, which may be found when we know the value of the
slope: x axis intercept (27,0) ; y axis intercept (0,-9) and the slope
m=1/3.