Question

find the distance between a(-2, -1) and b(3, 2)
d = sqrt((x2 - x1)^2+(y2 - y1)^2)
what is the distance formula?
6/10
question 6

Explanation:

Step1: Identify the 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: Assign the values of $x_1,y_1,x_2,y_2$

Given $A(-2,-1)$ and $B(3,2)$, we have $x_1=-2,y_1 = - 1,x_2=3,y_2 = 2$.

Step3: Substitute the values into the formula

\[

$$\begin{align*} d&=\sqrt{(3-(-2))^2+(2 - (-1))^2}\\ &=\sqrt{(3 + 2)^2+(2+1)^2}\\ &=\sqrt{5^2+3^2}\\ &=\sqrt{25 + 9}\\ &=\sqrt{34} \end{align*}$$

\]

Answer:

$\sqrt{34}$