Question

finding distance between two points - repeated practice
find the distance between the two points. (you can use the sketch tools to help.)
give an exact value, or round your answer to at least 2 decimal places.
do at least 8 problems to be ready for a quiz.
number correct: 0

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Let $(x_1,y_1)=(-4,-6)$ and $(x_2,y_2)=(-3,-5)$.

Step2: Calculate differences

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

Step3: Substitute into formula

$d=\sqrt{(1)^2+(1)^2}=\sqrt{1 + 1}=\sqrt{2}\approx1.41$.

Answer:

$\sqrt{2}\approx1.41$