Question

find the distance between each pair of points. round your answer to the nearest tenth.

Explanation:

Step1: Recall distance formula

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

Step2: Identify points from graph

For the first - graph, assume the two points are $(x_1,y_1)$ and $(x_2,y_2)$. Count the grid - squares to find the coordinates. Let's say the first point is $(x_1,y_1)=( - 2,3)$ and the second point is $(x_2,y_2)=( - 2, - 2)$.
Substitute into the formula: $d=\sqrt{(-2+2)^2+( - 2 - 3)^2}=\sqrt{0+( - 5)^2}=\sqrt{25}=5$.
For the second - graph, assume the two points are $(x_1,y_1)=( - 4,3)$ and $(x_2,y_2)=( - 1,4)$.
Substitute into the formula: $d=\sqrt{(-1 + 4)^2+(4 - 3)^2}=\sqrt{3^2+1^2}=\sqrt{9 + 1}=\sqrt{10}\approx3.2$.

Answer:

For the first pair of points: 5
For the second pair of points: 3.2