Question

What is the midpoint of CD?
• (1/2,-5/2)
•(1,-5/2)
•(1/2,-3/2)
•(1,-3/2)

Answer 1

Answer:

(1/2,-5/2)

Step-by-step explanation:

$\frac{ - 3 + 4 }{2} = \frac{1}{2} \\ \frac{ - 4 + - 1}{2} = \frac{ - 5}{2}$

Answer 2

Answer:

$\displaystyle \left(\frac{1}{2},-\frac{5}{2}\right)$

Step-by-step explanation:

Given a segment defined by the points (x1,y1) and (x2,y2), the midpoint (xm,ym) is calculated as follows:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The segment CD is defined by the points in graph C(-3,-4) and D(4,-1). The midpoint is:

$\displaystyle x_m=\frac{-3+4}{2}=\frac{1}{2}$

$\displaystyle x_m=\frac{1}{2}$

$\displaystyle y_m=\frac{-4-1}{2}=\frac{-5}{2}$

$\displaystyle y_m=-\frac{5}{2}$

Thus, the midpoint is:

$\mathbf{\displaystyle \left(\frac{1}{2},-\frac{5}{2}\right)}$