Question

Lulu marks the points (9,1) and (-3,6) on a coordinate plane. What is the mid point of the segment

Answer 1

To find the midpoint of a line segment that connects two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the midpoint formula:

\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

In this case, the points are \( (9, 1) \) and \( (-3, 6) \). Here, \(x_1 = 9\), \(y_1 = 1\), \(x_2 = -3\), and \(y_2 = 6\).

Now, we can plug the values into the midpoint formula:

\[
\text{Midpoint} = \left( \frac{9 + (-3)}{2}, \frac{1 + 6}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{9 - 3}{2} = \frac{6}{2} = 3
\]

Calculating the y-coordinate:

\[
\frac{1 + 6}{2} = \frac{7}{2} = 3.5
\]

Therefore, the midpoint