What is the distance between these order pairs (-4, 9) and (-4, 6)

9514 1404 393

  3 units

Step-by-step explanation:

The ordered pairs describe points on the same vertical line: x = -4. The distance between them is the difference of their y-coordinates:

  9 - 6 = 3

The distance between the given points is 3 units.

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: