Question

Calculate the distance between the points J = (- 2, - 1) and A = (3, - 7) in the coordinate plane Round your answer to the nearest hundredth

Answer 1

The distance between the points is 7.81 (to the nearest hundreth)

Explanation:

The distance formula between two points in the coordinate plane is:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Put,

`J(x_1,y_1)=(-2,-1)\\A(x_2,y_2)=(3,-7)`

Hence,

`d=√((3-(-2))^2+(-7-(-1))^2) \\d=√((3+2)^2+(-7+1)^2) \\d=√(5^2+(-6)^2) \\d=√(25+36) \\d=√(61) \\d=7.810`