Investigate the effect of varying m and c on a line[br][br]Ensure you give your responses in full sentences and use diagrams to assist your explanation.

a) What do you notice when you increase the value of m?[br]b) What do you notice when m is less than 0 compared to when it is greater than 0?[br]c) Look at the y axis when you vary c. What do you notice?[br]d) Select a value of m and c for your red line, and write it down in your book.[br]e) Make a right-angled triangle from the grid lines and the red line. What is the height of the triangle? What is its width? How does this compare with the value of m?[br]f) Draw a sketch of the graph and label the key points.[br]g) Check the tick box next to "Blue Line." Vary the blue sliders until the blue line is parallel to the red line. What do you notice about the values of m and c? Test this for a different red line.