Question

find the distance between the points c(-6, 5) and d(-3, 1). the distance between the two points is \boxed{}.

Explanation:

Step1: Recall distance formula

For points $(x_1,y_1)$ and $(x_2,y_2)$, distance $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Assign coordinates

Let $(x_1,y_1)=(-6,5)$, $(x_2,y_2)=(-3,1)$

Step3: Compute coordinate differences

$x_2-x_1=-3-(-6)=3$, $y_2-y_1=1-5=-4$

Step4: Square and sum differences

$(3)^2+(-4)^2=9+16=25$

Step5: Take square root

$d=\sqrt{25}=5$

Answer:

5