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SLOPE SECTION 3-3 Spi.2.1.D Jim Smith JCHS
The Slope Of A Line Is The Ratio Of The Vertical Rise To The Horizontal Run Or   RISE RUN
A B Let’s move from point A to point B.  We’ll take the elevator down 9 floors. ( down is negative ) Then we’ll run right,...
C D Let’s move from C to D. Move up 3. (Up is positive) Move right 8. Rise  =  3 Run  8 3 8 Now move from D to C Down 3 (n...
The slope of a line is the   RISE RUN Think …”The rise is the Y’s”  RISE  =  Y 1  – Y 2 RUN  X 1  – X 2 Y’s on top. It doe...
Find The Slope Of The Line Through: (3,6) and (-4,7) 6-7   =  -1  =_  1 3-(-4)  7  7 (4,8) and (9,2) 8-2   =  6  = _  6 4-...
If You Read A Line From Left To Right And It Goes Uphill, It Has A Positive Slope. Downhill Means A Negative Slope. pos neg
There are 2 special cases. A  vertical  line has an  undefined  slope. That means the x’s  are equal so we get a 0 in the ...
PARALLEL or PERPENDICULAR Parallel Lines Have The Same Slope. Perpendicular Lines Have Slopes That Are Opposites And Recip...
Are AB and CD parallel, perpendicular or neither? A(-2,-5), B(4,7), C(0,2), D(8,-2) Opposites and  reciprocals PERPENDICUL...
Are AB and CD parallel, perpendicular or neither? A(4,3), B(5,2), C(0,0), D(5,1) ARE THE SLOPES THE SAME ? OPP  and  RECIP...
Graph the line with a slope of 3 and passes Through (2,1)  Slope = 3 =  3 1 (2,1) 3 also =  -3 -1
Slopes of Perpendicular lines are opposites and reciprocals Slope of new line =   -1 4 Graph the line that passes through ...
Slope -1/4  Passes through ( 3 ,2 )
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Transcript of "3 3 slope"

  1. 1. SLOPE SECTION 3-3 Spi.2.1.D Jim Smith JCHS
  2. 2. The Slope Of A Line Is The Ratio Of The Vertical Rise To The Horizontal Run Or RISE RUN
  3. 3. A B Let’s move from point A to point B. We’ll take the elevator down 9 floors. ( down is negative ) Then we’ll run right, across the hall 9 spaces. ( right is positive ) We end up with the rise = -9 run 9 SLOPE = -9 = -1 9 -9 9
  4. 4. C D Let’s move from C to D. Move up 3. (Up is positive) Move right 8. Rise = 3 Run 8 3 8 Now move from D to C Down 3 (neg) Left 8 (neg) Rise = -3 = 3 Run -8 8 -3 -8
  5. 5. The slope of a line is the RISE RUN Think …”The rise is the Y’s” RISE = Y 1 – Y 2 RUN X 1 – X 2 Y’s on top. It doesn’t matter which Y goes first. Just start with the X from the same pair.
  6. 6. Find The Slope Of The Line Through: (3,6) and (-4,7) 6-7 = -1 =_ 1 3-(-4) 7 7 (4,8) and (9,2) 8-2 = 6 = _ 6 4-9 -5 5 (-3,-7) and (-9,-1) (-7)-(-1) = -6 = -1 (-3)-(-9) 6 (12,9) and (6,0) 9-0 = 9 = 3 12-6 6 2
  7. 7. If You Read A Line From Left To Right And It Goes Uphill, It Has A Positive Slope. Downhill Means A Negative Slope. pos neg
  8. 8. There are 2 special cases. A vertical line has an undefined slope. That means the x’s are equal so we get a 0 in the bottom of our fraction (ex. 5/0 ). A horizontal line has a slope of zero . The y’s are equal so the 0 is in the top of the ratio ( ex. 0/4 ). Remember hori z ontal and z ero both have a Z .
  9. 9. PARALLEL or PERPENDICULAR Parallel Lines Have The Same Slope. Perpendicular Lines Have Slopes That Are Opposites And Reciprocals Parallel lines Slopes ¼ and ¼ Perpendicular lines Slopes ½ and -2
  10. 10. Are AB and CD parallel, perpendicular or neither? A(-2,-5), B(4,7), C(0,2), D(8,-2) Opposites and reciprocals PERPENDICULAR Slope of AB = -5 – 7 -2 – 4 = -12 -6 = 2 Slope of CD = -2 - 2 8 - 0 = -4 8 = _ 1 2
  11. 11. Are AB and CD parallel, perpendicular or neither? A(4,3), B(5,2), C(0,0), D(5,1) ARE THE SLOPES THE SAME ? OPP and RECIP ? NEITHER Slope of CD = 1 - 0 5 - 0 = 1 5 Slope of AB = 3 - 2 4 - 5 = 1 -1 = -1
  12. 12. Graph the line with a slope of 3 and passes Through (2,1) Slope = 3 = 3 1 (2,1) 3 also = -3 -1
  13. 13. Slopes of Perpendicular lines are opposites and reciprocals Slope of new line = -1 4 Graph the line that passes through ( 3,2 ) and is perpendicular to CT with C( 2,2 ) , T( 4,10 ) First find the slope CT Slope of CT = 10-2 8 4-2 2 = = 4 or 4 1
  14. 14. Slope -1/4 Passes through ( 3 ,2 )
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