Question

find the distance between the two points (-4, -5) and (1, -2). a $sqrt{(18)}$ b $sqrt{(34)}$ c $sqrt{(40)}$ d $sqrt{(58)}$ e $sqrt{(68)}$

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Substitute the given points

Let $(x_1,y_1)=(-4,-5)$ and $(x_2,y_2)=(1,-2)$. Then $x_2 - x_1=1-(-4)=5$ and $y_2 - y_1=-2 - (-5)=3$.

Step3: Calculate the distance

$d=\sqrt{(5)^2+(3)^2}=\sqrt{25 + 9}=\sqrt{34}$.

Answer:

B. $\sqrt{34}$