Drawing Straight Line Graphs
We will look at plotting various straight line graphs in the applets below.
[size=200]1) y = x + 1[/size]
a) For the graph of y = x + 1 where -5 ≤ x ≤ 5
List all of the coordinates on this line with integer (whole number) x values[br][br]e.g. (0,1)
b) Draw the graph of y = x+1 for -5 ≤ x ≤ 5
[size=200]2) y = 2x + 1[/size]
a) For the graph of y = 2x + 1 where -4 ≤ x ≤ 2
List all of the coordinates on this line with integer (whole number) x values[br][br]e.g. (0,1)
b) Draw the graph of y = 2x+1 for -4 ≤ x ≤ 2
[size=200]3) y = -2x + 1[/size]
a) For the graph of y = -2x + 1 where -3 ≤ x ≤ 4
List all of the coordinates on this line with integer (whole number) x values[br][br]e.g. (0,1)
b) Draw the graph of y = -2x + 1 for -3 ≤ x ≤ 4
[size=200]4) y = -x - 1[/size]
a) For the graph of y = -x - 1 where -5 ≤ x ≤ 5
List all of the coordinates on this line with integer (whole number) x values[br][br]e.g. (0,1)
b) Draw the graph of y = -x - 1 for -5 ≤ x ≤ 5
[size=200]5) y = x + 2 and y = 2x - 2[/size]
a) Plot the graphs of y = x + 2 and y = 2x - 2. Label each line.
b) Can you see any values where x + 2 = 2x - 2? If so, where?
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?
[size=150]Simultaneous Equations[/size]
Question 7
On the graph above, show the graph of y = x + 2. [br][br][i][b]On the same graph[/b][/i], plot the graph of y = 2x - 2[br][br]What do you notice about these lines? Are there any special points for these lines? What are the coordinates of these points?