Download presentation

Presentation is loading. Please wait.

1
**Lines, Lines, Lines!!! ~ Standard Form**

Another equation of the same line.

2
**What we Have Learned so far….**

Slope Intercept Form Where m is the slope and b is the intercept

3
**What we Have Learned so far….**

Point-Slope Form Where m is the slope and are a point on the line.

4
**We will use our prior knowledge of**

Slope-Intercept Form & Point-Slope Form To learn about the Standard Form of a Line: Ax + By = C

5
**Standard Form The Standard Form of a Linear Equation is Ax + By = C**

Where A ≥ 0, & A and B are not both zero A, B, and C are integers whose greater common factor is 1.

6
**Standard Form Notice that: x and y have exponents of 1**

The Standard Form of a Linear Equation is Ax + By = C Notice that: x and y have exponents of 1 x and y are not multiplied together x and y do not appear in denominators, exponents, or radicals

7
**Examples of Standard Form**

These Equations are not in Standard Form: 1/2x + 2/3y = 6 12x – 36y = 10 5ix + 7py = -29 These Equations are in Standard Form: 2x + 5y = 7 x – y = - 10 1000x + 75y = 6

8
Question: Is the equation 4x + 7y = -10 a linear equation? Explain why. This equation is a linear equation because it is in standard form with A = 4, B = 7, and C = –10. Is the equation 2xy = 4 a linear equation? Explain why. This equation is not a linear equation because x and y are multiplied by each other.

9
**Writing an equation in Standard Form Ax + By = C**

y = 2/5x - 3 (5)y = (2/5x - 3)5 5y = 2x - 15 5y -2x = 2x -2x – 1 -2x + 5y = -15 -1(-2x + 5y = -15) 2x – 5y = 15 A= 2, B= -5, and C = 15

10
**Writing an equation in Standard Form Ax + By = C Given A Point and a Slope**

Point (3,4) and m = 6 y - y1 = m(x - x1) Use Point-Slope Form y - 4 = 6(x - 3) Substitute the values y - 4 = 6x – 18 Use Distributive Property y = 6x Add Liked Terms y = 6x – 14 Slope-Intercept Form -6x + y = 6x – 6x – 14 Move the x value -6x + y = -14 Add Liked Terms -1(-6x + y = -14) Multiply times -1 6x – y = 14 Standard Form

11
**Writing an equation in Standard Form Ax + By = C Given Two Points (6, -2) and (-4, 4)**

First: Find the Slope between the two points Second: Use the Slope and the first point on the Point-Slope Form. Plug them in.

12
**Writing an equation in Standard Form Ax + By = C Given Two Points (6, -2) and (-4, 4)**

A = 3, B = 5 and C = 28

13
**• • Steps to Graph Equations in standard form**

Write the equation in standard form Find x-intercept, by letting y = 0, solve for x, plot the point where x crosses the x-axis Find y-intercept, by letting x = 0, solve for y, plot the point where y crosses the y-axis Draw a line through the 2 points. Graph 2 x + 3 y = 12 Already using standard form: 2 x + 3y = 12 Let y = 0 2 x + 3(0) = 12 2 x = 12 x = 6 x-intercept is at ( 6 , 0 ) Let x = 0 2 (0) + 3 y = 12 3 y = 12 y = 4 y-intercept is at ( 0 , 4 ) • ( 0 , 4 ) 2 x + 3 y = 12 • ( 6 , 0 ) 13

14
**Your Turn! How do you graph a line which is in standard form?**

Graph 3x - 4y = -12 x y 3 (3)0 - 4y = -12 -4 3x - (4)0 = -12 Graph the points and connect the dots

15
Student Activity You will now receive a worksheet. Turn the worksheet in when completed.

16
**Do Not Disturb Work In Progress**

Similar presentations

OK

7-5 Graphing linear equations Objectives: Graph linear equations by using the x and y intercepts or the slope and y intercept.

7-5 Graphing linear equations Objectives: Graph linear equations by using the x and y intercepts or the slope and y intercept.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on ms word window with label Ppt on chapter 3 drainage pipe Ppt on fact and opinion for middle school Ppt on waxes by andrea Electrical print reading ppt on ipad Download seminar ppt on graphical password authentication Ppt on human chromosomes types Ppt on ip address classes and range Ppt on db2 introduction to algebra Ppt on porter's five forces analysis template