Question

Find the distance between each pair of points. Round to the tenths place.

Answer 1

12.0

Explanation:

Given the two points shown on the graph above, assuming 1 unit = 1 box, the coordinates of the two points are: (2, 7) and (-6, -2)

Use the distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_2)^2)`, to find the distance between points (2, 7) and (-6, -2)

Let,

`(2, 7) = (x_1, y_1)`

`(-6, -2) = (x_2, y_2)`

`d = √((-6 - 2)^2 + (-2 - 7)^2)`

`d = √((-8)^2 + (-9)^2)`

`d = √(64 + 81) = √(145) = 12.0 units` (nearest tenth)