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January 21, 2010

January 21, 2010. Linear Equations and Inequalities in 2 Variables. Warm Up. Is the coordinate (3, 10 ) on the line y = 2x + 7? Solve the following equation for y: 2x + 5y = 10 3. Find the slope of the linear function:. What is the meaning of this sign?. Icy Road Ahead

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January 21, 2010

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  1. January 21, 2010 Linear Equations and Inequalities in 2 Variables

  2. Warm Up • Is the coordinate (3, 10 ) on the line y = 2x + 7? • Solve the following equation for y: 2x + 5y = 10 3. Find the slope of the linear function:

  3. What is the meaning of this sign? Icy Road Ahead Steep Road Ahead Curvy Road Ahead Trucks Entering Highway Ahead

  4. What does the 7% mean? 7% is the slope of the road. It means the road drops 7 feet vertically for every 100 feet horizontally. 7 feet 7% 100 feet So, what is slope??? Slope is the steepness of a line.

  5. Slope can be expressed different ways: A line has a positive slope if it is going uphill from left to right. A line has a negative slope if it is going downhill from left to right.

  6. 1) Determine the slope of the line. When given the graph, it is easier to apply “rise over run”.

  7. Determine the slope of the line. Start with the lower point and count how much you rise and run to get to the other point! rise 3 = = run 6 6 3 Notice the slope is positive AND the line increases!

  8. 2) Find the slope of the line that passes through the points (-2, -2) and (4, 1). When given points, it is easier to use the formula!

  9. Did you notice that Example #1 and Example #2 were the same problem written differently? 6 3 (-2, -2) and (4, 1) You can do the problems either way! Which one do you think is easiest?

  10. Find the slope of the line that passes through (2, 1) and (5, -3). 3/4 -3/4 -4/3 4/3

  11. Find the slope of the line that passes through (3, 5) and (-1, 4). 4 -4 ¼ - ¼

  12. 3) Find the slope of the line that goes through the points (-5, 3) and (2, 1).

  13. Determine the slope of the line shown. -2 -½ ½ 2

  14. Determine the slope of the line. -1 Find points on the graph. Use two of them and apply rise over run. 2 The line is decreasing (slope is negative).

  15. What is the slope of a horizontal line? The line doesn’t rise! All horizontal lines have a slope of 0.

  16. What is the slope of a vertical line? The line doesn’t run! All vertical lines have an undefined slope.

  17. One and Done • Tuesday: Find the slope of the linear function: • Wednesday:Describe one method of finding the slope of a line. • Thursday: Find the slope of the line that contains the coordinate pairs: (2,3) and (4,6)

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