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)

Step-by-step 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

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

Apply the distance formula

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

Hence, option (a) is correct.