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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 = (□, □)
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 \(\frac{5 + 3}{2}=\frac{8}{2}=4\).
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\((3.5,4)\)