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?

Select all that apply

A
As x increases, y increases
B
As x increases, y decreases

Check my answer (3)

Question 2

What happens when m (the gradient) is negative?

Select all that apply

A
As x increases, y increases
B
As x increases, y decreases

Check my answer (3)

Question 3

What happens when c (the y-intercept) is positive?

Select all that apply

A
The line always goes through the point (0,0)
B
The line always passes through the negative y-axis
C
The line always passes through the positive y-axis

Check my answer (3)

Question 4

What happens when c (the y-intercept) is negative?

Select all that apply

A
As x increases, y increases
B
The line always goes through the point (0,0)
C
The line always passes through the negative y-axis
D
The line always passes through the positive y-axis
E
As x increases, y decreases

Check my answer (3)

Question 5

What happens when c (the y-intercept) is zero?

Select all that apply

A
The line always goes through the point (0,0)
B
The line always passes through the negative y-axis
C
The line always passes through the positive y-axis

Check my answer (3)

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?

y = mx + c

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

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