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Linear Equations in Standard Form

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Presentation on theme: "Linear Equations in Standard Form"— Presentation transcript:

1 Linear Equations in Standard Form
9/28 MISS Stack

2 Do Now *You are to be seated and working silently on your Do Now when the bell rings.
Write a Next-Now equation for the following sequence: -4, 0, 4, 8 … Write the next 3 numbers in the sequence: 2, -4, 8, -16, … Write the first 5 numbers in the sequence given then following information: NEXT= NOW – 5 Start: 15 4. What is the slope of a horizontal line? Evaluate f(x)= -2x + 7 when x= 6 * Raise your hand when you are finished and I will give you the next assignment

3 Let’s Play a Game  *We are going to play Little Slips
*Please listen carefully for instructions

4 X and Y-Intercept Identify and write the ordered pairs for the following points: X-intercept ____________ Y-intercept ____________

5 Standard Form of an Equation

6 Foldable-> Outside

7 Foldable -> Inside Left
We will begin with the left-hand side: Method #1 Convert to slope-intercept form and graph 3x + 5y= 15

8 Foldable -> Inside Right
We will now work on the right-hand side: Method #2 Find and graph x and y intercepts. 3x + 5y= 15

9 Finished Product

10 Key Points: You can use either Method # 1 or 2
You should get the same linear graph for both ways. Choose whichever is easier for you! Standard form is hard to work with, that is why we convert it to the y-intercept form: y=mx+b

11 Method 1 Practice #1 Convert 2x + 3y= 6 from standard form to the y-intercept form of a line. Remember the steps: Move your Ax term to the other side by adding or subtracting (use the inverse operation). Divide everything by B. Graph the y-intercept and use the slope to find another point.

12 Method 1 Practice #2 Convert -4x + 2y= -16 from standard form to the y-intercept form of a line. Remember the steps: Move your Ax term to the other side by adding or subtracting (use the inverse operation). Divide everything by B. Graph the y-intercept and use the slope to find another point.

13 Method 1 Practice #3 Convert 2x - 2y= 6 from standard form to the y-intercept form of a line. Remember the steps: Move your Ax term to the other side by adding or subtracting (use the inverse operation). Divide everything by B. Graph the y-intercept and use the slope to find another point.

14 Method 2 Practice #1 Find and graph the x and y intercepts-> 2x + 3y= 6 Remember the steps: To find the x-intercept, plug in 0 for y. Get x by itself. To find the y-intercept plug in 0 for x. Get y by itself. Graph your intercepts and connect the dots.

15 Method 2 Practice #2 Find and graph the x and y intercepts-> -4x + 2y= -16 Remember the steps: To find the x-intercept, plug in 0 for y. Get x by itself. To find the y-intercept plug in 0 for x. Get y by itself. Graph your intercepts and connect the dots.

16 Method 2 Practice #3 Find and graph the x and y intercepts-> 2x - 2y= 6 Remember the steps: To find the x-intercept, plug in 0 for y. Get x by itself. To find the y-intercept plug in 0 for x. Get y by itself. Graph your intercepts and connect the dots.

17 Exit Ticket -You are to work on your exit ticket silently and individually. -You must turn in your exit ticket before you leave class. Show me what you learned today 

18 Exit Ticket *Make sure your name is on your paper!
Change #1-3 from standard form into y-intercept form (y= mx + b). 6x + 6y= 12 -5x + 10y= -30 x + 4y= 16 What is the x-intercept of this equation: 4x + 2y= 8? What is the y-intercept of this equation: 4x + 2y= 8? 6y= -6x y= -x + 2 10y= 5x – 30 y= 1/2x – 3 3. 4y= -x + 16 y= -1/4x + 4 (2, 0) -> plug in 0 for y (0, 4) -> plug in 0 for x


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