# Straight Line - Gradient Worksheet

Below is an interactive applet that allows you to investigate gradients of straight lines. By moving the points around, we can witness how the gradient changes.

*m*stands for gradient.## Questions

Complete the following questions in your books by dragging point B around.
1. Create a line with a gradient of .
(a) Sketch the graph, including the 'triangle'.
(b) What is the rise?
(c) What is the run?
(d) How is the gradient calculated?
2. Repeat Q1 for gradients of , .
3. Drag B over to quadrant 2 and create a line with a gradient of .
(a) Sketch the graph, including the 'triangle'.
(b) What is the rise?
(c) What is the run?
4. Describe the difference between a positive and negative gradient.
5. What happens to the gradient when you make a horizontal line?
6. What happens to the gradient when you make a vertical line?