Question

using pt in the coordinate system
vectored instruction
find the distance between the two points.
enter the number that goes beneath the radical symbol.
(3,4)
(-2,-1)

Explanation:

Step1: Identify the distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(-2,-1)$ and $(x_2,y_2)=(3,4)$.

Step2: Calculate the differences

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

Step3: Square the differences and sum

$(x_2 - x_1)^2+(y_2 - y_1)^2=5^2 + 5^2=25+25 = 50$.

Answer:

50