Investigate the gradient intercept form of a straight line
The are a few different ways of writing an equation of a straight line. This worksheet will help you develop your understanding of one form of the equation. The blue slider is the coefficient of x. The green slider is a constant added or subtracted from the equation. The black equation is an example these numbers are used. The red equation is the equation of the line. Move the sliders to find the relationship between the constant, coefficient and the graph of the line.
1)What happens to the line when a =0? 2)What happens to the line when a>0? 3)What happensto the line when a<0? 4)What do you think a is representing? 5)What happens to the line when b=0? 6)What happens to the line when b>0? 7)What happens to the line when b<0? 8)What do you think b is representing?