1. Distance – Time Graphs
Time is usually the independent variable (plotted on the x-axis)
Distance is usually the dependent variable (plotted on the y-axis)

2. Distance – Time Graphs
For a Distance-Time graph the slope is distance/time which is equal to SPEED!
Average speed is calculated from the slope of the line

3. The line on this graph is straight and pointing upward to the right
The line on this graph is straight and pointing upward to the right. This indicates that there is a direct relationship between distance and time!

4. How would you describe a car’s movement if it’s distance vs
How would you describe a car’s movement if it’s distance vs. time graph looked like this:
The car is moving very fast!

5. How would you describe a car’s movement if it’s distance vs
How would you describe a car’s movement if it’s distance vs. time graph looked like this:
The car is moving very slow!

6. How would you describe a car’s movement if it’s distance vs
How would you describe a car’s movement if it’s distance vs. time graph looked like this:
The car is NOT MOVING

8. Slope!
To calculate the slope of the line of a graph, you need to pick 2 points on the graph (preferably not plotted points).

9. How can the slope of a the best-fit line represent
both ∆d = v ∆t and y = mx + b??
Let’s Review: y = mx + b
y – dependent variable (y axis)
X – independent variable (x axis)
m – the slope of the line
b – the y intercept of the line
∆d = v ∆t – equation relating distance, speed and time
y = mx + b – the general equation for a straight line