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Chapter 8 Section 3 Slope and Y-Intercept February 9 th , 2009 I suggest you write EVERY THING down in your notes.
Warm Up ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Slope ,[object Object],[object Object],[object Object],[object Object]
Slope ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Find the Slope of Each Line ,[object Object],Rise: 2 Run: 4 Rise: -3 Run: 2 Ratio is   2 / 4 Ratio is   -3 / 2 We’re reading from left to right. So start at the left most point and then figure out how to get to the next point.
If You Know Two Points: ,[object Object],[object Object],[object Object],[object Object]
Find the slope of the line through C( -2, 6 ) and D( 4,   3 ). ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Find the Slope of the Line through each pair of points: ,[object Object],[object Object],3/4: Rise = 3, Run = 4 -1 or (1/-1): Rise = 1, Run = -1
X = ? And Y = ?, Are Special. ,[object Object],This is a horizontal line. The points are (-3, 2) and (1, 2). Therefore, Y = 2. Find the slope. Slope = (2 – 2) / (1 – (-3) = 0 /4 = 0 The slope for a horizontal line (or anything Y = ?) is zero.
X = ? And Y = ?, Are Special. ,[object Object],This is a vertical line. The points are (-4, 1) and (-4, 3). Therefore, X = -4. Find the slope. Slope = (1 – 3) / (-4 – (-4) = -2 /0 = Undefined Division by zero is undefined. (Zero as the denominator). Slope is, therefore, UNDEFINED for vertical lines .
Word Problem ,[object Object],[object Object],[object Object]
Using Slope to Graph Linear Equations ,[object Object],[object Object],[object Object],[object Object]
Using Slope to Graph Linear Equations ,[object Object],[object Object],y =  (-1/2) x +  3 Slope = always a ratio Y-Intercept = Constant
Slope-Intercept Form ,[object Object],[object Object],[object Object],[object Object],[object Object]
To Graph with y = mx + b ,[object Object],[object Object],[object Object],[object Object]
Lets Graph Together! ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Assignment #3 ,[object Object]

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8.3 Slope And Y Intercept

  • 1. Chapter 8 Section 3 Slope and Y-Intercept February 9 th , 2009 I suggest you write EVERY THING down in your notes.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.