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Finding Slope 2009
1. Objective find the slope of a line given a line on a graph. The students will be able to: find the slope of a line given 2 points on a graph. find the slope of a line given 1 point and the slope of the graph.
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3. 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. So, what is slope??? 7 feet 100 feet Slope is the steepness of a line. 7%
4. Slope can be expressed differently as: A line has a positive slope if it slopes uphill from left to right . A line has a negative slope if it slopes downhill from left to right .
5. When given the graph, it is easier to apply “ rise over run ” . Determine the slope of the line given a line on a graph.
6. 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! 6 3 run 3 6 = = rise Notice the slope is positive! the line slopes upward and to the right 1 2
7. 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. y 2 is the y coordinate of the 2 nd ordered pair (y 2 = 1) y 1 is the y coordinate of the 1 st ordered pair (y 1 = -2)
8. Did you notice that both previous examples were the same problem written differently? (-2, -2) and (4, 1) Which method do you think is easiest? You can do the problems either way! 6 3
9. Find the slope of the line that goes through the points (-1, 2) and (1, 4). a. -1 b. 1 c. 2 d. 4
11. Determine the slope of the line using any two points on the line. The line is decreasing (slope is negative). 5 -2.5 Choose two points on the graph. Apply rise over run.
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14. Remember the word “VUXHOY” V ertical lines U ndefined slope X = number; this is the equation of the line. H orizontal lines O - zero is the slope Y = number; this is the equation of the line.
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16. The slope of a line that goes through points (r, 6) and (4, 2) is 4. Find r. To solve this, plug the given information into the formula continued
17. We must solve for r (x 1 ), simplify and write as a proportion. x (4 – r ) multiply each side by the common denominator x (4 – r ) 16 – 4 r = -4 continued
18. Simplify and solve the equation. The ordered pairs are (5, 6) and (4, 2)
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