Question

Round to the nearest tenth if necessary. Find the distance between the two points. (–1, –8), (–4, –4) A)5 B)25 C)13 D)1

Answer 1

Answer: (a)

Explanation:

Given

The points are
`(-1,-8)` and
`(-4,-4)`

The distance between two points
`(x_1,y_1),(x_2,y_2)` is given by

`d=√(\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2)`

Apply the distance formula

`\Rightarrow d=√(\left( -4+1\right)^2+\left( -4+8\right)^2)\\\\\Rightarrow d=√((-3)^2+(4)^2)\\\Rightarrow d=√(9+16)\\\Rightarrow d=5\ \text{units}`

Hence, option (a) is correct.