5 3 standard form n.
Download
Skip this Video
Download Presentation
5.3 Standard Form

Loading in 2 Seconds...

play fullscreen
1 / 17

5.3 Standard Form - PowerPoint PPT Presentation


  • 109 Views
  • Uploaded on

5.3 Standard Form. Objective : SWBAT find x- and y-intercepts and graph lines in standard form. Mini Quiz 42. Find the slope and y-intercept of Write an equation of a line with a slope m = 4 and y-intercept b = Determine whether the ordered pair (2, -7) lies on the graph y = -3 x – 1.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '5.3 Standard Form' - plato-slater


Download Now An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
5 3 standard form

5.3 Standard Form

Objective: SWBAT find x- and y-intercepts and graph lines in standard form.

mini quiz 42
Mini Quiz 42
  • Find the slope and y-intercept of
  • Write an equation of a line with a slope

m = 4 and y-intercept b =

  • Determine whether the ordered pair (2, -7) lies on the graph y = -3x – 1
quick review
Quick Review
  • What is the Slope Formula?
  • What is the Slope-Intercept Form?

y = mx + b

  • How do you check if a point is on the line?

Plug it in! If it’s =, it’s on the line

  • How do you find rate of change?

Take the independent “over” the dependent

overview
Overview
  • Learn about the standard form
  • Finding x- and y- intercepts with standard form
  • Graphing Lines Using Intercepts
  • Graphing Horizontal and Vertical Lines
  • Transforming to Standard Form

So far, we have learned slope-intercept

form…

y = mx + b

standard form
Standard Form

Ax +By =C

A, B, and C are integers

Examples:

2x + 5y = 6

x – 3y = -7

x and y intercepts
x- and y-intercepts
  • How do you write the ordered pair of any point on the x-axis?

(x, 0)

  • How do you write the ordered pair of any point on the y-axis?

(0, y)

find the x and y intercepts
Find the x- and y-intercepts

1. 2x + 6y = 36

How do you write the ordered pair for a point on the x-axis?

(x, 0) – replace the “0” for y

2x + 6(0) = 36

2x = 36

x = 18 (18, 0)

How do you write the ordered pair for a point on the y-axis?

(0, y) – replace the “0” for x

2(0) + 6y = 36

6y = 36

y = 6 (0, 6)

find the x and y intercepts1
Find the x- and y-intercepts

2. -3x + 2y = -12

How do you write the ordered pair for a point on the x-axis?

(x, 0) -replace the “0” for y

-3x + 2(0) = -12

-3x = -12

x = 4 (4, 0)

How do you write the ordered pair for a point on the y-axis?

(0, y) – replace the “0” for x

-3(0) + 2y = -12

2y = -12

y = -6 (0, -6)

find the x and y intercepts2
Find the x- and y-intercepts

3. -2x – 3y = -8

How do you write the ordered pair for a point on the x-axis?

(x, 0)

-2x – 3(0) = -8

-2x = -8

x = 4 (4, 0)

How do you write the ordered pair for a point on the y-axis?

(0, y)

-2(0) – 3y = -8

-3y = -8

y = 8/3 (0, 8/3)

find the x and y intercepts3
Find the x- and y-intercepts

4. 8x – 3y = 17

How do you write the ordered pair for a point on the x-axis?

(x, 0)

8x – 3(0) = 17

8x = 17

x = 17/8 (17/8, 0)

How do you write the ordered pair for a point on the y-axis?

(0, y)

8(0) – 3y = 17

-3y = 17

y = -17/3 (0, -17/3)

graph by using the x and y intercepts
Graph by using the x- and y-intercepts

5. 3x + 4y = 24

  • How do you write the ordered pair for a point on the x-axis?

(x, 0)

3x = 24

x = 8

(8, 0)

  • How do you write the ordered pair for a point on the y-axis?

(0, y)

4y = 24

y = 6

(0, 6)

graph by using the x and y intercepts1
Graph by using the x- and y-intercepts

6. -3x – 2y = -6

  • How do you write the ordered pair for a point on the x-axis?

(x, 0)

-3x = -6

x = 2

(2, 0)

  • How do you write the ordered pair for a point on the y-axis?

(0, y)

-2y = -6

y = 3

(0, 3)

graph by using the x and y intercepts2
Graph by using the x- and y-intercepts

7. -2x + 3y = -18

  • How do you write the ordered pair for a point on the x-axis?

(x, 0)

-2x = -18

x = 9

(9, 0)

  • How do you write the ordered pair for a point on the y-axis?

(0, y)

3y = -18

y = -6

(0, -6)

graph by using the x and y intercepts3
Graph by using the x- and y-intercepts

8. x + 4y = -8

  • How do you write the ordered pair for a point on the x-axis?

(x, 0)

x = -8

(-8, 0)

  • How do you write the ordered pair for a point on the y-axis?

(0, y)

4y = -8

y = -2

(0, -2)

graphing horizontal and vertical lines
Graphing Horizontal and Vertical Lines
  • 10. y = -4
  • 12. y = 2
  • x = 3

11. x = -4

change to standard form
Change to Standard Form
  • Write in standard form

-3x + 4y = 8

14. Write in standard form

2x + 5y = 5

wrap up
Wrap Up
  • Standard Form
    • Ax + By = C
  • Finding and Graphing x- and y-intercepts
  • Horizontal and Vertical Lines
  • Change to Standard

HW: P. 249 #1-61 EOO,

69 – 77 odd

DLUQ: How do you find the x- and y-intercepts