1. Take Out Paper for Notes!
Good Morning!
Take Out Paper for Notes!

2. Graphs and Linear Equations
What do you remember about…
Lines?
Graphs?
Slope?
Cartesian Plane?

3. On a plane, each point is the graph of an ordered pair.
On a number line, each point is the graph of a number.
On a plane, each point is the graph of an ordered pair.
Where would place the following?:
x-axis y-axis
Origin Quadrants

5. Rene’ Descartes French Mathematician and Philosopher
Use a coordinate system to combine algebra and geometry
Laid the foundation for analytic geometry

6. Find 3 points that satisfy the following conditions:
The x-coordinate is the same as the y-coordinate
The absolute values of the x-coordinate and the y coordinate are the same
The product of the coordinates is 2
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )

7. Equations whose graphs are lines are called linear equations.
Non-Linear

8. A graph of an equation is a drawing that represents its solutions.
The solution of an equation with two variables is an ordered pair of numbers, which can be plotted on a coordinate plane.
A graph of an equation is a drawing that represents its solutions.
So…….. How many ways can we graph?

9. Ways to graph… T-table Intercepts ( Using x and y intercepts)
Slope – Intercept ( Using the slope and y-intercept)
Point-Slope ( Using one point and the slope)

10. T-table
Example 1:

11. T-table
Example 2:

12. T-table
Example 3:

13. Now it’s your turn….
Hit or Miss….

14. Graphing by Intercepts
This method uses 2 very specific points on the graph.
x-intercept- point where the graph intersects the x-axis
y-intercept- point where the graph intersects the y-axis

15. How do you find intercepts?
x-intercept…
From the given equation,
let y = 0 , then solve for x.

16. How do you find intercepts?
y-intercept…
From the given equation,
let x = 0 , then solve for y.

17. Example 4:

18. Example 5:

19. Message in Code… graph by intercepts
Your turn ….
Message in Code… graph by intercepts