Question

4. Find the distance between the two points. Round to the nearest tenth if necessary.

(-2, -1) and (3, 5).

Answer 1

Distance = 7.8 units

Explanation:

In coordinate geometry, the distance between the 2 points is given by

`Distance = \sqrt{(x1-x2)^(2) + (y1-y2)^(2) }`

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

x1 = -2 , y1 = -1 , x2 = 3, y2 = 5

`Distance = \sqrt{((-2)-(3))^(2) + ((-1)-(5))^(2) }`

`Distance = √(61)`

Distance = 7.8102 units

To the nearest tenth, Distance = 7.8 units