Question

next, find the change in vertical and horizontal distance from (4, 6) to (10, 11). slope = \frac{vertical distance}{horizontal distance}

Explanation:

Step1: Find horizontal distance

The horizontal distance is the change in the x - coordinates. For points $(x_1,y_1)=(4,6)$ and $(x_2,y_2)=(10,11)$, the horizontal distance $d_x=x_2 - x_1$. So, $d_x=10 - 4=6$.

Step2: Find vertical distance

The vertical distance is the change in the y - coordinates. So, $d_y=y_2 - y_1$. For the given points, $d_y=11 - 6 = 5$.

Answer:

Horizontal distance: 6, Vertical distance: 5