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?

Question

-3
-2
2
3

Answer 1

To find the slope of the line from where Corey began walking to where he finished, we can use the coordinates of the starting and ending points.

1. Let's assume Corey starts at the origin, which we can call point \( (0, 0) \).
2. He walks three blocks east, which takes him to \( (3, 0) \).
3. He then walks six blocks north, bringing him to \( (3, 6) \).

Now we can find the slope \( m \) of the line connecting the points \( (0, 0) \) and \( (3, 6) \) using the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Substituting in the coordinates:

• \( (x_1, y_1) = (0, 0) \)
• \( (x_2, y_2) = (3, 6) \)

We get:

\[ m = \frac{6 - 0}{3 - 0} = \frac{6}{3} = 2 \]

Thus, the value of the slope is \( 2 \).

The correct answer is: 2.