Chapter 2 and 7.1

Chapter 2 and 7.1

1. Section 2.2

   • 2.2 is about solving equations being able to pick out Rate of Change and initial Value
     • F(x)=5-2/3x
       • It is Linear
         • B= 5 and m = -2/3x

2. Section 2.3

   • 2.3 is about being able to write out equations of a line and be able to model it
     • 12x-y=-15
       • Subtract 12x from both sides
         • y=-15-12x
           • m(x) = -12 b = -15

3. Section 2.4

   • 2.4 is about Being able to identify if lines are parallel or perpendicular
     • and how to write the equations
       • If the equation of a line is y=2x+4
         • A parallel line is almost the same the slope will match but with different y - intercept
           • So y=2x+7
             • Perpindicular lines will have the opposite of the current slope and a different y-intercept
               • Like y=-1/2x - 3

4. Section 2.5

   • 2.5 is about determining what the best fit line is and how to draw one

5. Section 2.6

   • 2.6 is about being able to take information and algebraically solve the questions about the model
     • y=-15+3x
       • How much is needed to profit $45?
         • The answer is 60
           • so x=20

6. Section 2.7

   • 2.7 is about identifying where lines intersect and how to find the exact point

7. Section 7.1

   • 7.1 is about using the Substitution method and Elimination Method properly
     • The Substitution method
       • x=1/2y +3
         • and
           • 8x+3y=-11
             • To solve
               • 8(1/2y + 3) + 3y = -11
                 • 7y+24=-11
                   • Subtract 24 from both sides
                     • 7y=-35
                       • Divide by 7
                         • y= -5
                           • Put in one equation to find x
     • The Elimination method
       • 12x+y=12
         • and
           • 4x-3y=-16
             • Multiply the top equation by 3
               • 36x+3y=36
                 • The y values cancel out
                   • Leaving 36x=36 and 4x = -16
                     • Simplify
                       • Giving 40x=20
                         • Divide by 40
                           • x = 1/2