Using a Distance-Versus-Time Graph The cheetah in this photograph is running at a constant speed. The graph shows the distance the cheetah moves and the time it takes the cheetah to move that distance. 1. Calculate Mark two new points on the line. Use these points to calculate the slope. 2. Draw Conclusions What is the average speed of the cheetah? Cheetah's Motion 100 € 80 60 Distance (m) 40 20 0 0 B (2,50) A (0,0) 1 2 Time (s) 3 4 3. Solve Linear Equations The graph of a straight line that goes through the origin can be represented by the equation, y = mx. This equation describes the relationship between the two variables x and y. In this equation, m represents the constant slope of the line. Use this equation to determine the distance the cheetah traveled in 4 seconds. 65

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