Question

consider the following pair of points.
(5, -1) and (6, -6)
step 1 of 2 : determine the distance between the two points.
answer

Explanation:

Step1: Recall distance formula

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

Step2: Assign point coordinates

Let $(x_1,y_1)=(5,-1)$ and $(x_2,y_2)=(6,-6)$.

Step3: Compute coordinate differences

$x_2-x_1=6-5=1$, $y_2-y_1=-6-(-1)=-5$

Step4: Square and sum differences

$(1)^2+(-5)^2=1+25=26$

Step5: Take square root

$d=\sqrt{26}$

Answer:

$\sqrt{26}$