Draw the graphs of the following sets of lines.
In each case, reflect on the role of \(a\) and \(b\).
\(y = 4x, y = 2x, y = x\)
Graph:
Role of \(b\):
In all three equations, . This means all lines pass through the point .
Role of \(a\):
All slopes are positive , so they all rise from left to right. As \(a\) increases from to , the lines become (closer to the y-axis).