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.
