What is the midpoint of the line segment with endpoints (-1, 7) (3, -3)

A. (1, 2)

Step-by-step explanation:

To find the mid point of the line segment with end points ( -1, 7) (3, -3) we will follow the steps below:

First, write down the formula for finding the mid point of a lone segment.

The formula is :

( , )  =  

From the question given;

The points given are:   ( -1, 7) (3, -3)

x₁ = -1      y₁  = 7       x₂  = 3       y₂ = -3

We can now proceed to insert the values into the formula;

( , )  =  

( , )    =  (  -1 + 3  /  2      ,      7 -3    / 2)

                   =(  2/2    ,      4/2)

                 =( 1, 2)

( , )     =   (1, 2)

Therefore, the midpoints are   ( 1,2)

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: