Question

Question 2 The location of line segment MN is shown on the coordinate plane below. 104 y D M NIE -TEET 2 3 4 5 6 7 8 9 To * E What is the length of MN? OCUL Illuminate Education TM Inc.

Answer 1

The coordinate grid shows two endpoints M and N.

The distance between two endpoints on a coordinate grid is calculated as;

`\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{The coordinates are M(5, 6) and N(2, 1)} \\ \text{Therefore you have,} \\ x_1=5,y_1=6,x_2=2,y_2=1 \\ d=\sqrt[]{(2-5)^2+(1-6)^2} \\ d=\sqrt[]{-3^2+-5^2} \\ d=\sqrt[]{9+25} \\ d=\sqrt[]{34} \\ d=5.83095\ldots \\ d\approx5.8 \end{gathered}`

The length of MN therefore is 5.8 units (approximately)