5.5 point slope and standard form

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Page 1: 5.5 Point Slope and Standard Form

Algebra Warm Up: pg. 752 Lesson 5.4 # 1-4, 13-15, 25 to

Page 2: 5.5 Point Slope and Standard Form

You have learned so far... 1. How to identify x and y intercepts from an equation2. How to graph an equation using the slope and y intercept3. How to find and equation for a line using 2 points Also you can graph a line using a T-chart. 1. Put equation in y = mx + b form (what is that called?)2. Make a T-chart3. Pick different x values including 0 and at least one negative number4. Substitute values and solve for y5. Plot the points6. Connect the dots

Page 3: 5.5 Point Slope and Standard Form
Page 4: 5.5 Point Slope and Standard Form
Page 5: 5.5 Point Slope and Standard Form

So now you have a choice BUT you need to know both methods becasue I will test you on both. A) Graph an equation using slope and y intrecpet. B) Graph equation using T-Chart

Page 6: 5.5 Point Slope and Standard Form

5.5 Standard and Point slope forms pg. 252 to 257 The Slope intercept form is the BEST way to graph a line HOWEVER: Equations are not always given in that form!

Standard form:

Point Slope form:

Page 7: 5.5 Point Slope and Standard Form

Now you will have to learn how to manipulate equations to PUT them into slope intercept form! You already know this!

-RECALL chapter 3- Moving things across = sign

TRY IT!

Page 8: 5.5 Point Slope and Standard Form

STANDARD FORM: Your goal is to simply put an equation into this form by moving things across equal signs! ALL you have to do is have the equation in that order!

Page 9: 5.5 Point Slope and Standard Form

Write each in standard

Page 10: 5.5 Point Slope and Standard Form

Write each in Slope intercept

Page 11: 5.5 Point Slope and Standard Form

POINT-SLOPE FORM: Again all you are doing is writing the existing equation in this form. Just make sure that it is in order. m= slope, (x1 and y1) are points (DO NOT simplify unless you are asked to convert to slope intercept form)

Page 12: 5.5 Point Slope and Standard Form

Write each in Point Slope

Page 13: 5.5 Point Slope and Standard Form

Make sure to READ the directions! Make sure to KNOW the different forms! Write equation into Standard and Slope intercept

Page 14: 5.5 Point Slope and Standard Form

What happens if they ONLY give you 2 points? Find SLOPE first. Then Write in Point slope form.

Page 15: 5.5 Point Slope and Standard Form

Try some more... Write in standard

Page 16: 5.5 Point Slope and Standard Form

Write in Slope intercept

Page 17: 5.5 Point Slope and Standard Form

Write in Point slope

Page 18: 5.5 Point Slope and Standard Form

Write in standard form AND slope intercept

Page 19: 5.5 Point Slope and Standard Form