Question

question
find the midpoint of points a(6, -6) and b(-4, 1) graphically.
you may press submit or click the graph again to replot the midpoint.
start over remove rectangle

Explanation:

Step1: Recall the midpoint formula

The midpoint formula for two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\).

Step2: Identify the coordinates of points A and B

For point \(A(6, -6)\), we have \(x_1 = 6\) and \(y_1 = -6\). For point \(B(-4, 1)\), we have \(x_2 = -4\) and \(y_2 = 1\).

Step3: Calculate the x - coordinate of the midpoint

Using the x - part of the midpoint formula: \(\frac{x_1 + x_2}{2}=\frac{6+(-4)}{2}=\frac{6 - 4}{2}=\frac{2}{2}=1\).

Step4: Calculate the y - coordinate of the midpoint

Using the y - part of the midpoint formula: \(\frac{y_1 + y_2}{2}=\frac{-6 + 1}{2}=\frac{-5}{2}\).

Answer:

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