Calculate Distance Between Points (9,-3) and (-1,8) | Coordinate Geometry

Question

Find the distance between the two points: (9,-3) and (-1,8)

Accepted Answer

D. d = 15

Answer

Step 1: Recall the distance formula between two points (x₁,y₁) and (x₂,y₂): $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ Step 2: Substitute (x₁,y₁)=(9,-3) and (x₂,y₂)=(-1,8) into the formula: $d = \sqrt{(-1-9)^2 + (8-(-3))^2}$ Step 3: Calculate the differences: $-1-9=-10$ and $8-(-3)=11$ Step 4: Square the differences: $(-10)^2=100$ and $11^2=121$ Step 5: Sum the squared values: $100+121=221$ Step 6: Calculate the square root: $\sqrt{221}≈14.87$, which rounds to 15, matching option D