Answer:
The distance between 2 points is √97 or 9.84
Step-by-step explanation:
The distance between two points can be found using distance formula:
[tex]d(x_{1},x_{2})=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
x₁ = -4, y₁ = -2 x₂ =5 and y₂ = 2
Putting values:
[tex]d(x_{1},x_{2})=\sqrt{(5-(-4))^2+(2-(-2))^2}\\d(x_{1},x_{2})=\sqrt{(5+4)^2+(2+2)^2}\\d(x_{1},x_{2})=\sqrt{(9)^2+(4)^2} \\d(x_{1},x_{2})=\sqrt{81+16}\\d(x_{1},x_{2})=\sqrt{97}[/tex]
So, the distance between 2 points is √97 or 9.84
