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# Graphing, Slope, And Special Lines

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### Graphing, Slope, And Special Lines

1. 1. Graphing Linear Equations: Slopes
2. 2. Do Now: Using your calculator to help, graph the line y = 2x - 4 <ul><li>1. Copy the table from the calculator </li></ul>
3. 3. Do Now: Using your calculator to help, graph the line y = 2x - 4 <ul><li>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). </li></ul><ul><li>Connect the points using a straight edge . </li></ul><ul><li>*** How do we know the graph should be a straight line? </li></ul>
4. 4. Graph y = - 3x + 2 Graph y = ½ x - 4
5. 5. What do the numbers in the equations represent? <ul><li>y = mx + b </li></ul><ul><li>Where </li></ul><ul><li>m = the slope of the line </li></ul><ul><li>b = the y-intercept </li></ul>
6. 6. How can we determine the slope of a line? <ul><li>Find the slope of the line in the graph: </li></ul><ul><li>Pick two points on the line </li></ul><ul><li>Use the slope formula </li></ul>
7. 7. Practice – Find each of the following slopes
8. 8. Practice finding slope with no graph: <ul><li>Find the slope of the line passing through (2,1) and (-3,-1) </li></ul><ul><li>Find the slope of the line passing through (-2,3) and (-4, 0) </li></ul>
9. 9. Special Lines: Find the slope of each of the following Conclusion: Conclusion:
10. 10. Special Lines: <ul><li>Horizontal Lines: </li></ul><ul><li>Slope is </li></ul><ul><li>Equation is </li></ul><ul><li>Vertical Lines: </li></ul><ul><li>Slope is: </li></ul><ul><li>Equation is: </li></ul>
11. 11. Graph each of the following pairs of lines. What do you observe? <ul><li>a. y = 2x + 3 What do these lines have in common? </li></ul><ul><li>b. y = 2x – 1 </li></ul><ul><li>a. y = - 3x – 2 What do these lines have in common? </li></ul><ul><li>b. y = - 3x + 3 </li></ul><ul><li>a. y = ½ x – 3 What do these lines have in common? </li></ul><ul><li>b. y = ½ x + 5 </li></ul><ul><li>CONCLUSION: </li></ul>