Question

Find the distance between the pair of points. Round your answer to the nearest tenth if necessary.

Answer 1

The distance between the pair of points is 12.0 (to the nearest tenth)

Explanation:

The distance between a pair of points in a coordinate system is found by the formula:

d =
`\sqrt({x_2-x_1)^2+(y_2-y_1)^2}`

where, the points are:

`(x_1,y_1)\ and\ (x_2,y_2)`

From the graph,

`(x_1,y_1)=(-6,-2)\\(x_2,y_2)=(2,7)`

Substitute the points into the formula:

`d=√((2-(-6)^2+(7-(-2)^2) \\d=√((2+6)^2+(7+2)^2) \\d=√(8^2+9^2) \\d=√(64+81) \\d=√(145) \\\d=12.0`