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.

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: Assign the values of the points

Let $(x_1,y_1)=(-4,-1)$ and $(x_2,y_2)=(4,8)$. Then $x_2 - x_1=4-(-4)=8$ and $y_2 - y_1=8 - (-1)=9$.

Step3: Calculate the squares

$(x_2 - x_1)^2=8^2 = 64$ and $(y_2 - y_1)^2=9^2 = 81$.

Step4: Sum the squares

$(x_2 - x_1)^2+(y_2 - y_1)^2=64 + 81=145$.

Step5: Find the distance

$d=\sqrt{145}\approx12.04$.

Answer:

$\sqrt{145}\approx12.04$