Question

distance, midpoint, and slope formula pr
find the distance between the pair of points. write in radical form.
(-1, -6), (3, 7)
d = √ units

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: Substitute the given points

Let $(x_1,y_1)=(-1,-6)$ and $(x_2,y_2)=(3,7)$. Then $x_2 - x_1=3-(-1)=4$ and $y_2 - y_1=7 - (-6)=13$.

Step3: Calculate the value inside the square - root

$(x_2 - x_1)^2+(y_2 - y_1)^2=4^2+13^2=16 + 169=185$.

Answer:

$\sqrt{185}$