Question

next, find the change in vertical and horizontal distance from (3, 5) to (11, 12). slope = \frac{vertical distance}{horizontal distance}

Explanation:

Step1: Calculate horizontal distance

The horizontal distance is the difference in x - coordinates. Let $(x_1,y_1)=(3,5)$ and $(x_2,y_2)=(11,12)$. The horizontal distance $d_x=x_2 - x_1$. So, $d_x=11 - 3=8$.

Step2: Calculate vertical distance

The vertical distance is the difference in y - coordinates. The vertical distance $d_y=y_2 - y_1$. So, $d_y=12 - 5 = 7$.

Answer:

Horizontal distance: 8, Vertical distance: 7