Questions for Sketchpad Activity Y=mx+b
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Algebra and Calculus Sketches
For what values of m is the graph of y=mx+b steeper than the graph of y=x.
For what values of m is it less steep?
For what value(s) of m do the two graphs coincide?
For what values of m does the graph rise from left to right?
For what values of m does the graph fall from left to right?
For what value(s) of m does the graph of y=mx+b appear to be perpendicular to the graph of y=x.
Where does the graph of y=x intersect the x-axis? the y-axis?
Where does the graph of y=mx + 0 intersect the x-axis? the y-axis?
How does the graph of y=mx+b compare to the graph of y=x when b=0?
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Ruth Carver * *
ruth@mathforum.org
* * 26 September 1995