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STANDARD FORM OF A LINEAR EQUATION

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Presentation on theme: "STANDARD FORM OF A LINEAR EQUATION"— Presentation transcript:

1 STANDARD FORM OF A LINEAR EQUATION
How to Graph!

2 x y slope We can find the ___& ___ intercepts and the ________ when the equation is written in standard form. y-intercept is at x-intercept is at

3 x y x y x y We know that y = 0 at the ____ intercept,
y-intercept is at x-intercept is at x We know that y = 0 at the ____ intercept, so we can plug in 0 for ___ to find the _____ intercept. y x y We know that x = 0 at the ____ intercept, so we can plug in 0 for ___ to find the _____ intercept. x y

4 Plug in 0 for x Plug in 0 for y
Example 4: Find the x & y intercepts of the following equations. A. Plug in 0 for x Plug in 0 for y x- intercept y-intercept

5 Plug in 0 for x Plug in 0 for y
Example 4: Find the x & y intercepts of the following equations. B. Plug in 0 for x Plug in 0 for y x- intercept y-intercept

6 Plug in 0 for x Plug in 0 for y
Example 4: Find the x & y intercepts of the following equations. C. Plug in 0 for y Plug in 0 for x x- intercept y-intercept

7 x- intercept y-intercept
Write in slope-intercept form to find the slope.

8 x- intercept y-intercept

9 Slope = y - intercept = x - intercept =

10 To find the x-intercept, cross out the y-term…
Slope = y - intercept = x - intercept =

11 To find the y-intercept, cross out the x-term…
Slope = y - intercept = x - intercept =

12 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = A. Slope x- intercept y-intercept

13 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = A. Slope x- intercept y-intercept

14 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = A. Slope x- intercept y-intercept

15 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = A. Slope x- intercept y-intercept

16 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = B. Slope x- intercept y-intercept

17 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = B. Slope x- intercept y-intercept

18 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = B. Slope x- intercept y-intercept

19 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = B. Slope x- intercept y-intercept

20 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = C. Slope x- intercept y-intercept

21 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = C. Slope x- intercept y-intercept

22 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = C. Slope x- intercept y-intercept

23 Slope x- intercept y-intercept
Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = C. Slope x- intercept y-intercept

24 If an equation is written in standard form, you can use the _______________ to graph the equation quickly. x & y intercepts

25 Example 6: Graph the following equations.

26 Example 6: Graph the following equations.

27 Example 6: Graph the following equations.

28 Example 6: Graph the following equations.
B.

29 Example 6: Graph the following equations.
B.

30 Example 6: Graph the following equations.
B.

31 Example 6: Graph the following equations.
C.

32 Example 6: Graph the following equations.
C.

33 Example 6: Graph the following equations.
C.

34 Example 6: Graph the following equations.
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35 Example 6: Graph the following equations.
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36 Example 6: Graph the following equations.
D.


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