Graphs are the best way to visually represent relationships between two variables. Y-AXIS (VERTICAL) for our purposes this will always be distance. X-AXIS (HORIZONTAL) for our purposes this will always be time. COORDINATES (X,Y) CURVE/LINE a line indicates uniform motion whereas a curve indicates non-uniform motion.
1. Determine the range for the y-axis by looking at the y values to be plotted. 2. Decide if the spacing on the graph should be every: 1,2,5,10. This depends on your range. 3. Number & label the y-axis. 4. Repeat steps 1-3 for the x-axis. 5. Plot the points on the graph.
6. Draw the “BEST” straight line or smooth curve that passes through the points. It may not have to pass through every single point. Do NOT make it look like a “connect the dots” picture. 7. Name the graph clearly (what does it represent?). NOTE: Follow these 7 steps every time you make a distance-time graph.
EXAMPLE 1: Plot a graph for the following data.
EXAMPLE 2: Plot a graph for the following data.
The slope of the line on a distance time graph represents the speed. SLOPE = SPEED THE GREATER THE SLOPE THE GREATER THE SPEED!
You can pick any two points on the line and use the coordinates to calculate the slope. The slope of a straight line will be the same for any point on that line.