Question

find the distance between the two points.

Explanation:

Step1: Identify the distance formula

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

Step2: Calculate the difference in x - coordinates

$x_2 - x_1=2-(-3)=2 + 3=5$.

Step3: Calculate the difference in y - coordinates

$y_2 - y_1=2-(-4)=2 + 4=6$.

Step4: Square the differences and sum them

$(x_2 - x_1)^2+(y_2 - y_1)^2=5^2+6^2=25 + 36=61$.

Answer:

$61$