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n by typing into the red boxes. midpoint formula point 1: (8ₓ₁, 5ᵧ₁) po…

Question

n by typing into the red boxes.
midpoint formula
point 1: (8ₓ₁, 5ᵧ₁) point 2: (-1ₓ₂, 3ᵧ₂)
substitute the values in the formula.
midpoint = ((8ₓ₁ + -1ₓ₂)/2, (5ᵧ₁ + 3ᵧ₂)/2)
simplify.
midpoint = (□, □)

Explanation:

Step1: Calculate the x - coordinate of the midpoint

The formula for the x - coordinate of the midpoint of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{x_1 + x_2}{2}\). Here, \(x_1 = 8\) and \(x_2=-1\). So we calculate \(\frac{8+( - 1)}{2}=\frac{7}{2}=3.5\).

Step2: Calculate the y - coordinate of the midpoint

The formula for the y - coordinate of the midpoint of two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(\frac{y_1 + y_2}{2}\). Here, \(y_1 = 5\) and \(y_2 = 3\). So we calculate \(\frac{5 + 3}{2}=\frac{8}{2}=4\).

Answer:

\((3.5,4)\)