What is the product of the coordinates of the midpoint of a line segment with endpoints at $(1,4)$ and $(-3,-6)$?
middle x = (1-3)/2 = -1
middle y = (4 -6)/2 = -1
-1 * -1 = 1
Thank you!
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To find the midpoint of a line segment with endpoints at $(x_1, y_1)$ and $(x_2, y_2)$, we use the midpoint formula:
$$\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$$
In this case, the endpoints are $(1, 4)$ and $(-3, -6)$. Plugging in these values into the midpoint formula, we have:
$$\left(\frac{1 + (-3)}{2}, \frac{4 + (-6)}{2}\right)$$
Simplifying, we get:
$$\left(\frac{-2}{2}, \frac{-2}{2}\right)$$
Which gives us the midpoint as $(-1, -1)$.
To find the product of the coordinates of the midpoint, simply multiply $-1$ with itself:
$$-1 \times -1 = 1$$
Therefore, the product of the coordinates of the midpoint is $1$.