Objective The student will be able to: find the slope of a line given 2 points and a graph. SOL: A.6a Designed by Skip Tyler, Varina HS and Vicki Hiner, Godwin HS What is the meaning of this sign? 1. 2. 3.
4. Icy Road Ahead Steep Road Ahead Curvy Road Ahead Trucks Entering Highway Ahead 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% 7 feet 100 feet So, what is slope??? Slope is the steepness of a line. Slope can be expressed different ways: ( y2 y1 ) rise
vertical change m ( x2 x1 ) run horizontal change 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. 1) Determine the slope of the line.
When given the graph, it is easier to apply rise over run. 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
1 rise 3 = = run 6 2 Notice the slope is positive AND the line increases! 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! ( y2 y1 ) m ( x2 x1 ) y2 is the y coordinate of the 2nd ordered pair (y2 = 1) y1 is the y coordinate of the 1st ordered pair (y1 = -2) (1 ( 2)) (1 2) 3 1 m
(4 ( 2)) (4 2) 6 2 Did you notice that Example #1 and Example #2 were the same problem written differently? 6 3 (-2, -2) and (4, 1)
1 slope 2 You can do the problems either way! Which one do you think is easiest? Find the slope of the line that passes through (3, 5) and (-1, 4). 1. 2. 3.
4. 4 -4 - 3) Find the slope of the line that goes through the points (-5, 3) and (2, 1). y2 y1 m x2 x1
1 3 m 2 5 1 3 m 2 ( 5) 2 m 7
Determine the slope of the line shown. 1. 2. 3. 4. -2 - 2
Determine the slope of the line. -1 2 Find points on the graph. Use two of them and apply rise over run. rise 2 2 run 1 The line is decreasing (slope is negative).
What is the slope of a horizontal line? The line doesnt rise! 0 m 0 number All horizontal lines have a slope of 0.
What is the slope of a vertical line? The line doesnt run! number m undefined 0 All vertical lines have an undefined slope. Remember the word VUXHOY
Vertical lines Undefined slope X = number; This is the equation of the line. Horizontal lines O - zero is the slope Y = number; This is the equation of the line. Draw a line through the point (2,0) that has a slope of 3. 1
3 1. Graph the ordered pair (2, 0). 2. From (2, 0), apply rise over run (write 3 as a fraction). 3. Plot a point at this location. 4. Draw a straight line through the points.
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