Question

2. Use the distance formula to determine the distance between points (9,15) and (3,7).

Answer 1

Distance between points (9,15) and (3,7) is 10

Explanation:

Distance between (x₁,y₁) and (x₂,y₂) is given by

`√((x_1-x_2)^2+(y_1-y_2)^2)`

Here (x₁,y₁) = (9,15) and (x₂,y₂) = (3,7)

Using distance formula to determine the distance, d between points (9,15) and (3,7).

`d=√((x_1-x_2)^2+(y_1-y_2)^2)\\\\d=√((9-3)^2+(15-7)^2)\\\\d=√(6^2+8^2)\\\\d=√(36+64)\\\\d=√(100)\\\\d=10`

Distance between points (9,15) and (3,7) is 10