• Save
Writing linear equations
Upcoming SlideShare
Loading in...5
×
 

Writing linear equations

on

  • 1,177 views

 

Statistics

Views

Total Views
1,177
Views on SlideShare
1,127
Embed Views
50

Actions

Likes
0
Downloads
0
Comments
0

1 Embed 50

http://msgalgebra2.blogspot.com 50

Accessibility

Categories

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment

    Writing linear equations Writing linear equations Presentation Transcript

    • Writing Linear Equations
      • Using Slope Intercept Form
      • Point-Slope Form.
    •  
      • We’ve learned to graph given an equation.
      • Now we’ll learn to write the equation given the graph
      • There are three ways.
      • It all depends on what information you are given as to which process you use.
    • Slope-Intercept Form
      • y = mx + b [or f ( x ) = mx + b ]
      • m is the slope
      • b is the y -intercept
    • Find the Equation of the Line
      • What is the
      • y -intercept?
      • b = -2
      • What is m ?
      • m =
      • y = x -2
      x y
    • Find the Equation of the Line
      • b = ?
      • b = 1
      • m = ?
      • m = -
      • y = - x + 1
      x y
    • Find the Equation of the Line
      • b = ?
      • b = 4
      • m = ?
      • m = 0
      • y = 0 x + 4
      • y =4
      x y
    • Find the Slope and y-intercept of each Equation:
      • 1) y = -4 x + 3
      • m = -4
      • b = 3
      • 2) y = 5 - x
      • m = -
      • b = 5
      • 3) 8 x + y =
      • m = -8
      • b =
      • 4) 4 x - 2 y = 10
      • m = 2
      • b = -5
    • Find the Equation Given the Slope and y -intercept
      • 1) m = -3, b = 1
      • y = -3 x + 1
      • 2) m = - , b = -4
      • y = - x - 4
    • Find the Equation Given the Slope and a Point
      • Given m = -1, (2, 1)
      • First, calculate b by substituting the slope and the coordinates into y = mx + b.
      • y = -1 x + b
      • 1 = -1(2) + b
      • 1 = -2 + b
      • 3 = b
      • y = -1 x + 3
    • If you are given two points on the line
      • Find the slope using the two points
      • Then plug this slope and either one of the points into the point slope formula.
    • Find the Equation Given Two Points
      • Given (-1, 3) and (2, 1)
      • First, calculate the slope:
      • Second, find b . Use either point...
      • m = , (2, 1)
      • 1 = (2) + b
      • 1 = + b
      • = b
    • Use Point Slope Form: If you are given slope, m, and a point (x 1 ,y 1 ) on the line
      • y – y 1 = m ( x – x 1 )
    • Write an equation of a line containing the point (1,2) with slope of -1/2.
      • Use (x 1 ,y 1 ) = (1,2) & m = -1/2
      • y – 2 = -1/2 ( x – 1)
      • Now you can simplify to the slope intercept form
      • y – 2 = -1/2 x + ½
      • y = -1/2 x + 5/2
    • Given two points (-2,2) & (3,7)
      • Find the slope:
      • m=1
      • Plug this slope and one of the points into the point slope formula.
      • y – 2 = 1 ( x – (-2))
      • y – 2 = x + 2
      • y = x + 4 (put the equation into slope intercept form)
      (-2,2) (3,7)