Graph stuff

Question 1

The gradient of a line graph is

Answer 1

How steep the line of the graph is

Question 2

We calculated the gradient by

Answer 2

Take the changes in y value, divide to change in x value. or

Gradient = ∆y/∆x

Question 3

In the distance-time graph and speed-time graph, why the time has to be on the x-axis?

Answer 3

Because time is an independent variable. The distance and the speed of an object depend on the time on the graph.

We put time on the x-axis and the other thing on the y axis to see it with respect to time.

Question 4

What is the gradient of the distance-time graph?

Answer 4

Gradient = ∆y/∆x = ∆Distance/∆Time = Speed

Question 5

What is the gradient of the speed-time graph?

Answer 5

Gradient = ∆y/∆x = ∆Speed/∆Time = Acceleration

Question 6

What is the area underneath the line graph of a speed-time graph?

Answer 6

We can think of the area underneath the line graph as the area of a bunch of rectangles adding up together.

Area of rectangle = Height x Width = Speed x Time = Distance

Conclusion: It is the distance traveled by the object.

Question 7

What does the gradient of a graph represent?

Answer 7

The changes of y with respect to x

Example:
y = Speed
x = Time
Gradient = change of speed with respect to time = acceleration.