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step-by-step-explanation
The rate of change of the linear relationship is -1.
Explanation:
It is given that there is a linear relationship between all these points, these points lie on a straight line.
The equation to find the slope passing through two points
and
is given by

Substituting the points
and
, we get,

Thus, the slope is -1.
Thus, the rate of change of the linear relationship is -1.
Answer:
(0, 3)
Step-by-step explanation:
Y axis changes and x axis stays the same
Answer:
(1) 
Ad g(x) represent f(x) after horizontal translation 2 units to the left.


is the required translation.
(2) 


(3) We have been given a point (1,-9); slope 2
We will use the equation:

m is the give slope.


Therefore, Option (a) is correct.
Answer:
Average rate of change=\displaystyle \frac{\text{Change in output}}{\text{Change in input}}
Change in input
Change in output
=\displaystyle \frac{\Delta y}{\Delta x}
Δx
Δy
=\displaystyle \frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}
x
2
−x
1
y
2
−y
1
=\displaystyle \frac{f\left({x}_{2}\right)-f\left({x}_{1}\right)}{{x}_{2}-{x}_{1}}
x
2
−x
1
f(x
2
)−f(x
1
)