Linear Functions

Linear Functions

• 1.
  Linear Functions
• 2.
  Do Now: How do we know if a set of data represents a linear function? Check the rate of change (slope) and see if it is constant Do the following represent linear functions? 37 29 17 9 5 y 10 8 5 3 2 x 17 11 10 5 3 h 8 5 4 1 0 t
• 3.
  How do wewrite the equation of a line? Use slope/intercept (y = mx + b) if given slope and y-intercept Use point/slope (y - y 1 = m(x - x 1 ))if given point and slope or 2 points (find slope)
• 4.
  Find an equationof a line for each of the following: Slope = 6, y-intercept = 4 Slope = - 3, passing through (- 1, 4) Passes through (-2,1) and (1,-5) f(-1) = 4 and f (1) = 0
• 5.
  Complete each ofthe following: Parallel lines have ______________ slopes Perpendicular lines have ________________ slopes Vertical lines have ______________ slopes Horizontal lines have _________________ slopes A linear function is increasing when the slope is _____ A linear function is decreasing when the slope is _____
• 6.
  How do wefind the equation of the perpendicular bisector? Ex. Find the equation of the perpendicular bisector of the segment joining (-1,2) and (3,6) Find the slope of the line segment - use negative reciprocal Find the midpoint of the line segment Write the equation using the midpoint and the negative reciprocal slope.