Applications of slope GUESS G= GIVEN U=UNKNOWN E=EQUATION S=SUBTITUTE S=SOLVE EQUATION FOR SPEED S=D/T (D=Distance, T=time, S=speed) 1) Calculate the average speed (in m/s) of a cheetah that runs 140 meters in 5 seconds. G. U. E. S. S. • Motion is a change in position measured by distance and time. • Speed tells us the rate at which an object moves. • Velocity tells the speed and direction of a moving object. • Acceleration tells us the rate speed or direction changes. • A distance-time graph tells us how far an object has moved with time. • The steeper the graph, the faster the motion. • A horizontal line means the object is not changing its position - it is not moving, it is at rest. • A downward sloping line means the object is returning to the start. • Time is always plotted on the X-axis (bottom of the graph). The further to the right on the axis, the longer the time from the start. • Distance is plotted on the Y-axis (side of the graph). The higher up the graph, the further from the start. SOLUTION SET FOR TWO LINEAR EQUATIONS • ONE SOLUTION • If a system of two variables has one solution, then if you plug in the value of that point in each of the equation, it is true for both • NO SOLUTION • These two line have no solution because they are parallel to each other and they do not intersect • INFINITE SOLUTIONS • If two lines coincide then there exists infinite solutions
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