Find the coordinates of the midpoint of a segment having the given endpoints. Q(5, 10), R(8, 2)

A(-1.5, 4)
B(7.5, 5)
C(-3, 8)
D(6.5,6)

D(6.5, 6)

Step-by-step explanation:

8-5=3/2=1.5 5+1.5=6.5

10-2=8/2=4 2+4=6

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: