y = mx + c
In this activity, you will use applets to explore the effects of gradient and y-intercept on straight lines.
Question 1
What happens when m (the gradient) is positive?
Question 2
What happens when m (the gradient) is negative?
Question 3
What happens when c (the y-intercept) is positive?
Question 4
What happens when c (the y-intercept) is negative?
Question 5
What happens when c (the y-intercept) is zero?
Question 6
Describe the lines where m (the gradient) is zero?
Simultaneous Equations
Question 7
On the graph above, show the graph of y = x + 2. On the same graph, plot the graph of y = 2x - 2 What do you notice about these lines? Are there any special points for these lines? What are the coordinates of these points?