Step-by-step explanation:
Distance between (x₁,y₁) and (x₂,y₂) is given by
[tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
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).
[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d=\sqrt{(9-3)^2+(15-7)^2}\\\\d=\sqrt{6^2+8^2}\\\\d=\sqrt{36+64}\\\\d=\sqrt{100}\\\\d=10[/tex]
Distance between points (9,15) and (3,7) is 10
