Parameters of a Linear Equation

What does 'm' represent in the equation y=mx+b?

What does 'b' represent in the equation y=mx+b?

What happens to the line as you increase the value of 'm' from 0 to 5? * use the slider to change m on the diagram *

What happens to the line as you decrease the value of 'm' from 0 to -5? * use the slider to change m on the diagram *

What is the difference between the gradients in questions 3 and 4?

What happens to the line as you change the value of 'b'?

Write down the equation of the line with a gradient of 3 and a y-intercept of 5.

Write down the equation of the line with a gradient of -2 and a y-intercept of 9.

Write down the equation of the line with a gradient of and a y-intercept of -3.

Make the equation y=-2.5x-4 on the graph above using the sliders. Using the graph you have created, give a rough approximation of x-intercept.