Answer:
Option B: 
Step-by-step explanation:
A function is said to be increasing if it has a slope greater than 0.
The function with the largest slope has the highest increasing rate.
Here, for the graph in option A, the function is decreasing with increasing
. So, it has a negative slope.
We need to convert equation of option B into standard form and then determine its slope.
The standard form of a straight line is
, where
is the slope of the line and
is the y-intercept.
Now, given function is:

Therefore, the slope is 2.
Option C:
Slope is given as,

Therefore, the slope is 1.
Option D:
Equation of a line with
and
as
and
intercepts is given as,

Here,
and 
∴ 
Therefore, the slope is
.
Hence, the largest slope is for option B and thereby the highest increasing rate.
X=11,-1 is the right answer
Answer: -1/9
Step-by-step explanation:
Find the Slope (−3, 2) and (6, 1)
Slope is equal to the change in y over the change in x, or rise over run.

The change in x is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).

Substitute in the values of x and y into the equation to find the slope.

Simplify the numerator. Tap for more steps...

Simplify the denominator.

Answer:
x^6-9 = x^-3 = 1/x^2
Step-by-step explanation: