Question

Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation. to three decimal places (-3,-2) and (0,2)

Answer 1

The formula for the distance between points (x₁,y₁) and (x₂,y₂):

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`


`(-3,-2) \\ x_1=-3 \\ y_1=-2 \\ \\ (0,2) \\ x_2=0 \\ y_2=2 \\ \\ d=√((0-(-3))^2+(2-(-2))^2)=√(3^2+4^2)=√(9+16)=√(25)=5`

The distance is 5 units.