190k views
0 votes
How do you find the coordinates of the midpoint of segment VW with the end points of V(-2,-6) and W(x+2, y+3)

User Delvon
by
7.3k points

2 Answers

5 votes

Final answer:

The coordinates of the midpoint of segment VW are (x/2, (y-3)/2).

Step-by-step explanation:

To find the coordinates of the midpoint of segment VW, we can use the midpoint formula.

The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the endpoints.

Given the endpoints V(-2, -6) and W(x+2, y+3), we can find the x-coordinate of the midpoint by taking the average of the x-coordinates: (-2 + (x+2))/2.

Similarly, we can find the y-coordinate of the midpoint: (-6 + (y+3))/2.

So the coordinates of the midpoint are (x/2, (y-3)/2).

User Hzmy
by
8.3k points
1 vote

\bf \textit{middle point of 2 points }\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) V&({{ -2}}\quad ,&{{ -6}})\quad % (c,d) W&({{ \stackrel{\stackrel{x+2}{-2+2}}{0}}}\quad ,&{{ \stackrel{\stackrel{y+3}{-6+3}}{-3}}}) \end{array}\quad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right) \\\\\\ \left( \cfrac{0-2}{2}~,~\cfrac{-3-6}{2} \right)
User Hdnn
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories