Question

what is the slope of line h? thats how much the vertical distance increases for a given increase in the horizontal distance, or the value of vertical distance / horizontal distance. slope = vertical distance / horizontal distance

Explanation:

Step1: Identify vertical and horizontal distances

Vertical distance from $(3,5)$ to $(11,12)$ is $12 - 5=7$. Horizontal distance from $(3,5)$ to $(11,12)$ is $11 - 3 = 8$.

Step2: Calculate slope

Slope $=\frac{\text{vertical distance}}{\text{horizontal distance}}=\frac{7}{8}$.

Answer:

$\frac{7}{8}$