• Share
  • Email
  • Embed
  • Like
  • Save
  • Private Content
Solving linear equations alg 2 project anna jen ali
 

Solving linear equations alg 2 project anna jen ali

on

  • 398 views

 

Statistics

Views

Total Views
398
Views on SlideShare
398
Embed Views
0

Actions

Likes
0
Downloads
2
Comments
0

0 Embeds 0

No embeds

Accessibility

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

    Solving linear equations alg 2 project anna jen ali Solving linear equations alg 2 project anna jen ali Presentation Transcript

    • Solving Linear Equations
      By: Anna Carey, Ali LaBella, and Jen Putnam
    • Linear Equations vs.Linear Functions
      A linear equationis an equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant.
    • Examples of Linear Equations
      Linear EquationsNot Linear Equations
      7x − 3y = 14 8a + 3b2 = -12
      x = 11y=ghghjgfj
      3s = -2t − 9x + xy= 2
      y = ¼xy = 1/X
    • Linear Equations cannot…
      • Be raised to a power other than 1
      • Cannot have two variables multiplied by each other
      Why?
    • Ax + By = C
      • A must be greater than or equal to zero
      • A and B cannot be zero
      • Example: 5x + 7y = 12
      Standard Form
    • y = mx + b
      • m is the slope of the line
      • b is the y-intercept
      • Example: y = ¾x + 6
      Slope-Intercept Form
    • y − y1 = m(x − x1)
      • (x1 , y1) are the coordinates of a point on the line
      • m is the slope of the line
      • Example: y +1 =¼(x − 2)
      Point-Slope Form
    • x/a+y/b = 1
      • a is the x-intercept
      • b is the y-intercept
      • Example: x/2 + y/5 = 1
      Intercept Form
      • Slope is the ratio of the change in
      y-coordinates to the change in x-coordinates.
      (Rise over Run, Rate of Change)
      y2− y1= m
      x2− x1tghr
      What is slope?
      • The x-intercept is where the line crosses the
      x-axis.
      • Set y equal to zero
      • Example: 4x + 2y = 8
      4x + 2(0) = 8
      4x = 8
      x = 2
      • So, the x-intercept is (2, 0)
      Finding the x-intercept
      • The y-intercept is where the line crosses the
      y-axis.
      • Set x equal to zero
      • Example: 4x + 2y = 8
      4(0) + 2y= 8
      2y = 8
      y = 4
      • So, the y-intercept is (0, 4)
      Finding the y-intercept
    • Solve: 3x − 4 = -10
      Isolate the variable, x
      • 3x − 4 (+ 4) = -10 (+ 4)
      • 3x = -6
      • x = -2
      The solution to this linear equation is x = -2
      Solving a Linear Equation
    • THE END