[b]Slope[/b] is a description of a line's direction and steepness. Explore how the slope of the black line below changes when you move points A and B. [br][br][b]Directions: [/b]In the manipulative below, the slope of the black line is being calculated using points A and B. Change the slope of the line by moving points A and B. Try to avoid having decimals in the coordinates of points A and B to make the exploration easier to follow. [br][br][b]Try to answer the following questions:[/b][br]- How would you describe the black line when the slope is negative and when it is positive?[br]- Where does the numerator of the slope come from?[br]- Where does the denominator of the slope come from?[br]- How is the slope calculated? [br][br][b]Note: [/b]The slope shown in the manipulative below may be an unreduced fraction, but when we do our own slope calculations, we want to [b]make sure our fractions are reduced[/b].