Question

complete all the problems.

1. find the distance between (0, 3) and (0, 9).
2. gordon walks from the leaf to the tree and then to the sun. how many blocks did he walk?

Explanation:

Step1: Recall distance formula for points on same x - axis

For two points $(x_1,y_1)$ and $(x_2,y_2)$ with $x_1 = x_2$, the distance $d=\vert y_2 - y_1\vert$. Given points $(0,3)$ and $(0,5)$, here $x_1=x_2 = 0$, so $d=\vert5 - 3\vert$.
$d=\vert5 - 3\vert=2$

Step2: Analyze Gordon's walk

Assume each unit on the grid is a block. The leaf is at say $(x_1,y_1)$, the tree at $(x_2,y_2)$ and the sun at $(x_3,y_3)$. First, find the distance from leaf to tree. Then from tree to sun.
Let's assume leaf is at $(- 1,1)$, tree is at $(-1,2)$, and sun is at $(2,2)$. Distance from leaf to tree: Since $x$ - coordinates are the same, distance $d_1=\vert2 - 1\vert = 1$. Distance from tree to sun: Since $y$ - coordinates are the same, distance $d_2=\vert2-(-1)\vert=3$. Total distance $D=d_1 + d_2$.
$D=1 + 3=4$

Answer:

1. The distance between $(0,3)$ and $(0,5)$ is 2.
2. Gordon walked 4 blocks.