Evaluate: f(x) = 2/3 x - 1; f(9) *

f(9) = 5

Step-by-step explanation:

f(x) = 2/3 x - 1; f(9)

f(9) = 2/3 x - 1

= 2/3 × 9 - 1

= 2 × 3 - 1

= 6 - 1

f(9) = 5

-TheUnknownScientist

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c