Question 4 of 26
What is the distance between the points \( (2,-3) \) and \( (-6,4) \) on the coordinate plane?
A. 10.63 units
B. 4.12 units
C. 8.06 units
D. 3.87 units

Answer

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Answer

3. Use the distance formula: \(d = \sqrt{(-8)^2 + (7)^2} = \sqrt{64 + 49} = \sqrt{113} \approx 10.63\)

Steps

Step 1 ：1. Calculate the horizontal distance: \(x_2 - x_1 = (-6) - (2) = -8\)

Step 2 ：2. Calculate the vertical distance: \(y_2 - y_1 = 4 - (-3) = 7\)

Step 3 ：3. Use the distance formula: \(d = \sqrt{(-8)^2 + (7)^2} = \sqrt{64 + 49} = \sqrt{113} \approx 10.63\)