Question

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

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1=-6,y_1 = 5,x_2=-3,y_2 = 1$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$. $x_2 - x_1=-3-(-6)=-3 + 6=3$, and $y_2 - y_1=1 - 5=-4$.

Step3: Square the differences

$(x_2 - x_1)^2=3^2 = 9$ and $(y_2 - y_1)^2=(-4)^2=16$.

Step4: Sum the squared - differences

$(x_2 - x_1)^2+(y_2 - y_1)^2=9 + 16=25$.

Step5: Calculate the distance

$d=\sqrt{25}=5$.

Answer:

5