Question

PLZZ HELP ASAP!!! 40 POINTS!!

Use the graph below to answer the following question: If slope is calculated using the equation, "m = (y2-y1) / (x2-x1)," what is the slope of the secant line? Be sure to include all math work and units in your final answer.

Answer 1

8 cm/s

Step-by-step explanation:

When the time is 0 s (x₁ = 0 s), the position of the rolling ball is 0 cm (y₁ = 0 cm).

When the time is 6 s (x₂ = 6 s), the position of the rolling ball is 45 cm (y₂ = 45 cm).

Using these 2 points, we can find the slope (m) of the secant line.

m = (y₂ - y₁)/(x₂ - x₁) = (45 cm - 0 cm)/(6 s - 0 s) = 8 cm/s (we round off to 1 significant figure)