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

OPTION C : 0.5

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) =(( x_(1) +x_(2) )/(2) ,( y_(1) +y_(2) )/(2))`

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

`(x,y) =(( 1)/(2) ,( 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.