Question

corey walked three blocks east and then six blocks north. all the blocks were the same length. what is the value of the slope of the line from where corey began walking to where he finished?
-3
-2
2
3

Explanation:

Step1: Define coordinates

Let the starting - point be $(0,0)$. Moving 3 blocks east means the $x$ - coordinate changes by 3 (positive $x$ - direction), and moving 6 blocks north means the $y$ - coordinate changes by 6 (positive $y$ - direction). So the ending - point is $(3,6)$.

Step2: Use slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(3,6)$. Then $m=\frac{6 - 0}{3 - 0}=\frac{6}{3}=2$.

Answer:

C. 2