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GeoGebraGeoGebra Classroom

Exploring Slope Intercept Form

Move the sliders for m (slope) and b (y-intercept) to see how they affect the graph of the line. You can also move the points on the line to show that no matter which two points on the line you pick, slope for the line stays the same. You can zoom in and out by scrolling with your mouse. You can move the graphics view by clicking and dragging.
What does the "m" value change about the line? What happens when "m" is positive? Negative? Zero? What does the "b" value change about the line? What happens when "b" is positive? Negative? Zero? Does "b" affect how steep the line is? Does "m" affect where the y-intercept is? Why does it not matter which two points you choose on the line to calculate slope?