Respuesta :

The x value is 1/2, or 0.5

Just use the midpoint formula
(x2+x1)/2 , (y2+y1)/2

to find the midpoint. The x value would be (x2+x1)/2, so plug in the numbers.
(-2+3)/2 = 1/2

Answer:

[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]

Step-by-step explanation:

Given two points C(-2,4) and D(3, 7)

we have to find the value of x-coordinate for the point that splits segment CD in half.

By mid-point formula,

The coordinate of mid-point of line segment joining the points (a,b) and (c,d) are [tex](\frac{a+c}{2}, \frac{b+d}{2})[/tex]

Coordinates of mid-point joining the points C(-2,4) and D(3, 7)

[tex](\frac{-2+3}{2},\frac{4+7}{2})[/tex]

[tex](\frac{1}{2},\frac{11}{2})[/tex]

[tex]\text{The x value for the point that splits segment CD in half is }\frac{1}{2}[/tex]