1. BEFORE: NOVEMBER 1, 2017
Identify whether each represents a linear function. X Y -1 -3 -2 1 2 3

2. DURING: USING INTERCEPTS
FIND X- FIND X- AND Y-INTERCEPTS
LEARNING TARGET: I CAN…
GRAPH LINEAR EQUATIONS

3. KEY VOCABULARY
The x-intercept is the x-coordinate of the point where the graph intersects the x-axis. The y-coordinate of this point is always 0.
The y-intercept is the y-coordinate of the point where the graph intersects the y-axis. The x-coordinate of this point is always 0.

4. FINDING INTERCEPTS – “I DO”
Find the x- and y- intercepts.

5. FINDING INTERCEPTS – “WE DO”
Find the x- and y- intercepts.

6. FINDING INTERCEPTS-- “YOU DO”
Find the x- and y- intercepts.

7. STANDARD FORM OF A LINEAR EQUATION
Another way to determine whether a function is linear is to look at its equation. A function is linear if it is described by a linear equation. A linear equation is any equation that can be written in the standard form shown below.
Ax + By = C
Where A, B, and C are real numbers and A and B are not both 0.

8. Notice that when a linear equation is written in standard form
x and y both have exponents of 1
x and y are not multiplied together
x and y do not appear in denominators, exponents, or radical signs
Ax + By = C

10. Finding Intercepts Using Standard Form

11. Finding Intercepts Using Standard From

12. FINDING INTERCEPTS – “I DO”
Find the x- and y- intercepts.
3x – 2y = 12

13. FINDING INTERCEPTS – “WE DO”
Find the x- and y- intercepts.
-3x + 5y = 30

14. FINDING INTERCEPTS – “YOU DO”
Find the x- and y- intercepts.
4x + 2y = 16

15. GRAPHING LINEAR EQUATIONS BY USING INTERCEPTS
To graph a linear function, you need to plot only two ordered pairs. It is often simplest to find the ordered pairs that contain the intercepts.
Step 1: Find the intercepts.
Step 2: Graph the line.

16. GRAPHING LINEAR EQUATIONS BY USING INTERCEPTS – “I DO”
2x – 4y = 8

17. GRAPHING LINEAR EQUATIONS BY USING INTERCEPTS – “WE DO”
y = -x + 4

18. GRAPHING LINEAR EQUATIONS BY USING INTERCEPTS – “YOU DO”
-3x + 4y = -12

19. Graphing Ax + By = C Using Intercepts
AFTER
A function has x-intercept 4 and y-intercept 2. Name two points on the graph of this function.
Copy and complete the graphic organizer:
Graphing Ax + By = C Using Intercepts
1. Find the x-intercept by ______?________.
2. Find the y-intercept by ______?_______.
3. Graph the line by _______?_______

20. EXTRA PRACTICE
Page 240 #s 3 – 12, multiples of 3