Question

Find the x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7). A. 2.5 B. 1 C. 0.5 D. 3

Answer 1

to find the midpoint we know that
x1+x2/2
so
-2+3/2
=1/2
=0.5
so correct option is C
hope it helps

Answer 2

Answer:

OPTION C : 0.5

Step-by-step explanation:

Given : CD is the segment

There is a point that splits segment in half

Point C is located at (−2, 4) and point D is located at (3, 7).

To Find : Value of x of that point which divides the segment.

Solution :

Let the point be 'E' that divides segment CD into halves .So, E is the mid point of CD.

Since we are given that :

Point C =  $(x_{1} ,y_{1})$  = (−2, 4)

Point D = $(x_{2} ,y_{2})$ =  (3, 7)

Now to calculate midpoint E of CD we will use formula :

$(x,y) =(\frac{ x_{1} +x_{2} }{2} ,\frac{ y_{1} +y_{2} }{2})$

$(x,y) =(\frac{ -2 +3 }{2} ,\frac{ 4 +7} {2})$

$(x,y) =(\frac{ 1}{2} ,\frac{ 11 }{2})$

$(x,y) =(0.5 ,5.5)$

Thus the value of x = 0.5

Hence , the x value for the point that splits segment CD in half  is 0.5

So, OPTION C is correct.