Today’s Lesson:

What: Linear Equations (Functions)

Why: To create a table, given a linear equation, and to graph the result on the coordinate plane.

Just plug inthe “x” values!

Linear Equation-- equation with ________ different variables and neither variable contains an exponent greater than 1. For example: y= 3x + 2

Just plug inthe “x” values!

What is it?:

2

x y = 2x - 1 y-1

0

1

2

Just plug inthe “x” values!

1

y = 2 (-1) – 1y = -2 – 1y = -3

y = 2 (0) – 1y = 0 – 1y = -1y = 2 (1) – 1y = 2 – 1y = 1

y = 2 (2) – 1y = 4 – 1y = 3

examples:

-3

-1

1

3

x y = x + 8 y

-1

0

1

2

2

7

8

9

10

3 x y = 8 – 3x y

-4

-2

0

2

20

14

8

2

x x = 2y + 6 y

-4

-2

0

2

4

-5

-4

-3

-2

There is an ___________________

number of answers to a linear equation!!

Why?? BECAUSE we can input ANY number for the x variable. Since we can never run out of numbers, there is NO LIMIT to the amount of possible answers to a linear equation!!

infinite

x x + 2y = 9 y

-1

0

1

2

5

5

𝟗𝟐

4

𝟕𝟐

6 Solve: y = 3x - 2

If you aren’t given a table, make your

own!!!

x y = 2 - 3x y

-2

-1

0

1

Remember, every input /output (x,y)

combo represents a ____________

on the coordinateplane!

7

8

5

2

-1

point

Notice the straight line!! It’s no surprise that a linear equation graphs as a straightline!

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)

represent the homework assigned for that day.

Linear Equation-- equation with ________ different variables and neither variable contains an exponent greater than 1. For example: y= 3x + 2 Examples:

x y = 2x - 1 y

-1 -3

0 -1

1 1

2 3

x y = x + 8 y

-1

0

1

2

x x = 2y + 6 y

-4

-2

0

2

x y = 8 – 3x y

-4

-2

0

2

Math-7 NOTES DATE: ______/_______/_______NAME:

Just plug inthe “x” values!

1

3

2

4

y = 2 (-1) – 1y = -2 – 1y = -3

y = 2 (0) – 1y = 0 – 1y = -1

y = 2 (1) – 1y = 2 – 1y = 1

y = 2 (2) – 1y = 4 – 1y = 3

What: Linear Equations (Functions)Why: To create a table, given a linear equation, and to graph the result on the coordinate plane.

x x + 2y = 9 y

-1

0

1

2

5

7

There is an _________________

number of answers to a linear equation!!

6

x y = 2 - 3x y

-2

-1

0

1

If you aren’t given a table, make your

own!!!

Solve: y = 3x - 2

Remember, every input/output (x,y) combo

represents a _______________

on the coordinate plane!Solve AND Graph:

Solve:

1) 2)

3) 4)

Solve (Make your own table, and choose your own x values):

5) y = -8x 6) y = -4x - 1

x y = x + 1 y

-1

0

1

2

x y = 3x + 2 y

-2

0

2

4

x y = x - 5 y

-1

0

1

2

x y = 4x y

-10

-5

0

5

Math-7 PRACTICE/ Homework NAME:________________________________________________________________________________ DATE: _____/_____/__________

“Linear functions ”

Solve (be careful– plug “x” values in exactly where you see “x.” You will then need to solve for “y.”

7) 8)

Solve AND Graph:

9)

10)

x x = y + 2 y

-1

0

1

2

x y = -x + 2 y

-3

-1

1

3

x y = -3x -1 y

-1

0

1

2

x x = 2y - 3 y

-1

0

1

2