The Family of Linear Functions
The Linear Function Family (y = mx + b)
The parent function, y = x (or y = 1x+0), is graphed below and represented by the dotted black line.
Use the sliders to change the values of m and b in the linear equation shown.
First, use the sliders to create the parent function, y = x. Next, systematically explore the lines that are created by changing the values of m and b. How does each compare to the parent function, y = x? How does m affect the graph? How does b affect the graph?