Write in equation passing through the point that is parallel to (8,3); y=-1/4x+7

y = -1/4x + 5

Step-by-step explanation:

Since the lines are parallel, they have the same slope, which is -1/4

Use the point-slope form to do this problem

 Memorize this form. OK?

y - 3 = -1/4(x - 8)

4y - 12 = -1(x - 8) = -x + 8

4y = -x + 20

y = -1/4x + 5

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: