1. Sec 6-3-b Learning Objectives The student will be able to:
___________________________

2. Graphing Steps
______the variable (solve for y).
Make a _______. If the domain is not given, pick your own values.
_______ the points on a graph.
_________ the points.

3. 1) Review: Solve for y 2x + y = 4
Draw “the river”
Subtract 2x from both sides
2) Solve for y: x + 2y = -6
Subtract 4x
Simplify
Divide both sides by 2

4. 3) Solve for y: x - 3y = 6
Subtract x
Simplify
Divide both sides by -3

5. Review: Make a t-table If f(x) = 2x + 4, complete a table using the domain {-2, -1, 0, 1, 2}.
ordered pair -2
2(-2) + 4 = 0 (-2, 0) -1 1 2

6. Given the domain {-2, -1, 0, 1, 2}, graph 3x + y = 6
Solve for y: x + y = 6
Subtract 3x
2. Make a table
ordered pair x
-3x + 6 -2 -1 1 2

7. Given the domain {-2, -1, 0, 1, 2}, graph 3x + y = 6
Plot the points
Connect the points.
Bonus questions!
What is the x-intercept?
What is the y-intercept?
Does the line increase or decrease?

8. Which is the graph of y = x – 4?.

9. Standard Form Ax + By = C A, B, and C have to be integers
An equation is LINEAR (the graph is a straight line) if it can be written in standard form.
This form is useful for graphing (later on…).

10. Determine whether each equation is a linear equation.
4x = 7 + 2y
Can you write this in the form
Ax + By = C?
4x - 2y = 7
A = 4, B = -2, C = 7

11. Determine whether each equation is a linear equation.
2) 2x2 - y = 7
Can you write it in standard form?
3) x = 12

12. Here’s the cheat sheet! An equation that is linear does NOT contain the following:
Variables in the denominator
Variables with exponents
Variables multiplied with other variables.

13. Is this equation linear?
Yes No
Standard Form

14. Is this equation linear?
Yes No

15. Is this equation linear? y = -3
Yes No