Answer:
The distance between the points is 7.81 (to the nearest hundreth)
Step-by-step explanation:
The distance formula between two points in the coordinate plane is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Put,
[tex]J(x_1,y_1)=(-2,-1)\\A(x_2,y_2)=(3,-7)[/tex]
Hence,
[tex]d=\sqrt{(3-(-2))^2+(-7-(-1))^2} \\d=\sqrt{(3+2)^2+(-7+1)^2} \\d=\sqrt{5^2+(-6)^2} \\d=\sqrt{25+36} \\d=\sqrt{61} \\d=7.810[/tex]
