Transcript Linear Equations and the Intercept Form

Linear Equations and
the Intercept Form
 Solving Equation Practice
 The components of a line
 Finding the equation
Solving Equations
• REMEMBER:
– You CAN:
• Combine constants with constants within parentheses
• Group like terms – add coefficients together for “x terms” or
“y terms” or combine constants
– You MUST:
• Follow order of operations! Multiply and divide left to right
before adding or subtracting (unless its within parentheses)
• Undo an operation by using the inverse on both sides of an
equation
– You CANNOT:
• Add a constant with a coefficient
• Ignore denominators
Practice
 Combining Fractions – Solve the Equation
 3/4 + 7/3 + 5/9x = 11/3
 5/2 + 10/9 = 5/4 x
Practice
• Coefficients and Parentheses
• 2 - 4(3x + 2) + 7 = 3x + 9
• 1 – (2x+8) = 7x
• [1 – 2(x+3)]/2 + 9 = 10
Practice
• Combining Like terms – Simplify the
Expression
• 2x + 8y -7 + 4(x + y) + 12
• (2x + 3y)/2 + x + 8 + 2y
Linear Equations
• y = mx+ b – Intercept form
• y is the height or the value of the function for a
given value of x
• You might also see: y=f(x) they are the same!
• m is the slope of the function – remember this
might be the common difference of your recursive
routine
• m is the coefficient on x
Remember: Direct Variation
• Quantities that are directly proportional
change at a constant rate – think price and
ears of corn example
• The structure for these relationships is…
Practice
• Sam is training for a triathlon. For his workout,
he has already burned 325 by running. Next
he swims, which burns 7.8 calories per minute
– Create a table of values for the calories Sam will
burn swimming for an hour. You only need to
include the terms in increments of ten
– Define variables and write an equation in
intercept form to describe this relationship
Continued…
• On the same set of axis (this can be in your
calculator first) graph the equation for total
calories Sam burned as well as the direct
variation equation for calories burned
swimming
• How are they similar? How are they different?
Group Work p182
• Complete the problem as a group, be
prepared to present it to the class
– Group 1 - #6
– Group 2 - #7
– Group 3 - #8
– Group 4 - #9
– Group 5 - #10
Homework
• Worksheet – you do not have to do #1
• Do your work neatly on a separate sheet of
paper!