Question

next, find the change in vertical and horizontal distance from (3, 6) to (12, 14). slope = vertical distance / horizontal distance

Explanation:

Step1: Calculate horizontal distance

The horizontal distance is the change in the x - coordinates. Given points $(x_1,y_1)=(3,6)$ and $(x_2,y_2)=(12,14)$. The formula for horizontal distance $d_x=x_2 - x_1$. So, $d_x=12 - 3=9$.

Step2: Calculate vertical distance

The vertical distance is the change in the y - coordinates. Using the formula $d_y=y_2 - y_1$. So, $d_y=14 - 6 = 8$.

Answer:

Horizontal distance: 9, Vertical distance: 8