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

Expert–verified

Hide Steps

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: $d = \sqrt{(- 8)^{2} + (7)^{2}} = \sqrt{64 + 49} = \sqrt{113} \approx 10.63$