Topic 6 - m, b, and the graph of y=mx+b

You know that a general algebraic representation of a linear function is [math]y=mx+b[/math], where [math]m[/math] represents the slope of the line and [math]b[/math] represents the [math]y[/math]-intercept. Use the interactive graph below to explore the relationship between the value of [math]m[/math] and the slope of the line.

Drag the slider along the number line and notice how the graph (of the blue line) changes when the slope value, [math]m[/math], changes. Use this graph to answer the questions on the homework sheet [i]Topic 6 - [math]m[/math], [math]b[/math], and the graph of [math]y=mx+b[/math][/i].