Question

Find 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).

Answer 1

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 2

`\text{The x value for the point that splits segment CD in half is }(1)/(2)`

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
`((a+c)/(2), (b+d)/(2))`

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

`((-2+3)/(2),(4+7)/(2))`

`((1)/(2),(11)/(2))`

`\text{The x value for the point that splits segment CD in half is }(1)/(2)`