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# Graphing, Slope, And Special Lines

## on Nov 14, 2007

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## Graphing, Slope, And Special LinesPresentation Transcript

• Graphing Linear Equations: Slopes
• Do Now: Using your calculator to help, graph the line y = 2x - 4
• 1. Copy the table from the calculator
• Do Now: Using your calculator to help, graph the line y = 2x - 4
• Plot the (x,y) points. Remember start at the origin (the point where the x and y axes intersect – coordinates are (0,0) ) Go right (positive) or left (negative) first (x) and then up (positive) or down (negative) next (y).
• Connect the points using a straight edge .
• *** How do we know the graph should be a straight line?
• Graph y = - 3x + 2 Graph y = ½ x - 4
• What do the numbers in the equations represent?
• y = mx + b
• Where
• m = the slope of the line
• b = the y-intercept
• How can we determine the slope of a line?
• Find the slope of the line in the graph:
• Pick two points on the line
• Use the slope formula
• Practice – Find each of the following slopes
• Practice finding slope with no graph:
• Find the slope of the line passing through (2,1) and (-3,-1)
• Find the slope of the line passing through (-2,3) and (-4, 0)
• Special Lines: Find the slope of each of the following Conclusion: Conclusion:
• Special Lines:
• Horizontal Lines:
• Slope is
• Equation is
• Vertical Lines:
• Slope is:
• Equation is:
• Graph each of the following pairs of lines. What do you observe?
• a. y = 2x + 3 What do these lines have in common?
• b. y = 2x – 1
• a. y = - 3x – 2 What do these lines have in common?
• b. y = - 3x + 3
• a. y = ½ x – 3 What do these lines have in common?
• b. y = ½ x + 5
• CONCLUSION:
•