Parallel to y = 2x - 6
and passing through (3,2)

y=2x-6

2=2(3)+b

2=6+b

b=-4

Parralel lines have the same slope meaning the slope is 2 and we just found the y intercept (b) by folowing the steps above

therefore...

y=2x-4

Step-by-step explanation:

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:

after 1 year: 221 deer

step-by-step explanation:

30% of 170 is 51. 170+51=221