8.2 Function form and checking solutions.notebook
Graphing Linear Equations
Critical Thinking Skill:
Gather and organize data
8.2 Linear Equations in Two Variables
Two parts to the lesson:
Part A: Checking Solutions
Part B: Function Form
solution: point that makes your equation true (part of the line)
Ex: The ordered pair (1,-3) is a solution for the
2x - y = 5
equation
What is the x value in the ordered pair?
What is the y value in the ordered pair?
Substitute the values in the equation and check.
May 07, 2014
8.2 Function form and checking solutions.notebook
May 07, 2014
A. Verifying Solutions
Decide whether the given ordered pair is a solution of the given equation.
ex 1: 4x + y = 8
a). ( 1 , 4)
ex 2:
b). ( 3 , 4)
3x + 2y = -8
a.) (0,4)
b.) (-2, -1)
B. Function form ­ when the equation is solved for y
Not function form: 3x + y = 7
Function form: y = ­3x + 7
Write each in function form.
1). 2x + y = 6
c). ­2x ­ y = 5
2). 4x + 2y = 18
d). x ­ 3y = 5
8.2 Function form and checking solutions.notebook
May 07, 2014
Demonstrate Understanding:
Decide whether the given ordered pair is a solution of the given equation.
Show your work properly.
1.) y = -3x + 9 ; (-3,18)
3.) y = 3x +7 ; (-2,1)
2.) y = x ; (3,-3)
4.) 2x - y = 5 ; ( 4,3)
Write each in function form.
1.) x + y = 8
2.) 5x - y = -1
3.) 4x + 4y = 8
4.) 2y + 3x =2