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- 1. 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
- 2. What is the meaning of this sign?1. Icy Road Ahead2. Steep Road Ahead3. Curvy Road Ahead4. Trucks Entering Highway Ahead
- 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.7% 7 feet 100 feet So, what is slope???Slope is the steepness of a line.
- 4. 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.
- 5. 1) Determine the slope of the line.When given the graph, it is easier to apply “rise over run”.
- 6. Determine the slope of the line.Start with the lower point and count howmuch you rise and run to get to the other point! rise 3 1 = = 6 run 6 2 3 Notice the slope is positive AND the line increases!
- 7. 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 1m= = = = (4 − (−2)) (4 + 2) 6 2
- 8. Did you notice that Example #1 andExample #2 were the same problem written differently? (-2, -2) and (4, 1) 6 1 3 slope = 2You can do the problems either way! Which one do you think is easiest?
- 9. Find the slope of the line that passes through (3, 5) and (-1, 4).1. 42. -43. ¼4. -¼
- 10. 3) Find the slope of the line that goesthrough the points (-5, 3) and (2, 1). y2 − y1 1− 3 m= m= x2 − x1 2+5 1− 3 −2 m= m= 2 − (−5) 7
- 11. Determine the slope of the line shown.1. -22. -½3. ½4. 2
- 12. Determine the slope of the line. -1 Find points on the graph. 2 Use two of them and apply rise over run. rise 2 = = −2 run −1The line is decreasing (slope is negative).
- 13. What is the slope of a horizontal line? The line doesn’t rise! 0 m= =0 number All horizontal lines have a slope of 0.
- 14. What is the slope of a vertical line? The line doesn’t run! number m= = undefined 0All vertical lines have an undefined slope.
- 15. Remember the word “VUXHOY”Vertical linesUndefined slopeX = number; This is the equation of the line.Horizontal linesO - zero is the slopeY = number; This is the equation of the line.
- 16. Draw a line through the point (2,0) that has a slope of 3. 1. Graph the ordered pair (2, 0). 1 2. From (2, 0), apply rise over 3 run (write 3 as a fraction). 3. Plot a point at this location. 4. Draw a straight line through the points.
- 17. The slope of a line that goes throughthe points (r, 6) and (4, 2) is 4. Find r. To solve this, plug the given information into the formula ( y2 − y1 ) m= . (x2 − x1 ) 2−6 4= 4−r
- 18. To solve for r, simplify and write as a proportion. 2−6 4 −44= = 4−r 1 4−r Cross multiply. 4 −4 = 1 4−r 1(-4) = 4(4 – r)
- 19. Simplify and solve the equation. 1(-4) = 4(4 – r) -4 = 16 – 4r -16 -16 -20 = -4r -4 -4 5=rThe ordered pairs are (5, 6) and (4, 2)

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