QuestionFind the midpoint of points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ . Which option is correct? A, B, C, D, or E?

Studdy Solution

STEP 1

Assumptions1. We have two points in a plane, $\left(x_{1}, y_{1}\right)$ and $\left(x_{}, y_{}\right)$ . We need to find the coordinates of the midpoint between these two points

STEP 2

The formula for the midpoint of two points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ in a2 plane is given by $\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

STEP 3

Comparing the given options with the formula, we can see that option B matches the formula for the midpoint of two points.
So, the coordinates of the midpoint between points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ are $\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$ .

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