Download presentation

Presentation is loading. Please wait.

Published byAudrey Longsworth Modified over 2 years ago

1
**Graph Linear Systems Written in Standard Form**

2
**Types of Linear Equations**

Slope Intercept Form: y = mx + b You have used this one the most. If you have your slope and y-intercept, you can graph a line or even a system of equations (two lines). Standard Form: Ax + By = C “A” is the coefficient of “x.” “B” is the coefficient of “y.” “C” is a number (a constant)

3
**What type of Equation is this?**

y = 2x -9 3x – 4y = 18 -x + 19y = 5 y = ½ x + 4 14x + y = 3 y = -2/3x – 9/2 Slope-Intercept Form Standard Form

4
**Standard Form: Ax + By = C**

To graph an equation in standard form, you use the x- and y-intercepts. The x-intercept is: “What is x if y is zero?” (# , 0) The y-intercept is: “What is y if x is zero?” (0, #)

5
**Find the x- and y- intercepts of the following equations:**

4x + 2y = 12 3x – y = 6 -5x + 4y = 20 9x – 12y = -36 (3, 0) & (0, 6) (2, 0) & (0, -6) (-4, 0) & (0, 5) (-4, 0) & (0, 3)

6
**It is where the two lines intersect.**

What does “Solving a Linear System” mean? It is where the two lines intersect.

7
**Graph to solve the linear system.**

2x – y = 2 4x + 3y = 24 Since the equations are in standard form, find the x- and y-intercepts to graph. 2x – y = 2 2x – 0 = 2 2x = 2 x = (1, 0) 2(0) – y = 2 -y = 2 y = (0, -2) 4x + 3y = 24 4x + 3(0) = 24 4x = 24 x = (6, 0) 4(0) + 3y = 24 3y = 24 y = (0, 8)

8
**Graph to solve the linear system.**

2x – y = Intercepts are (1, 0) & (0, -2) 4x + 3y = 24 Intercepts are (6, 0) & (0, 8) Where do the lines intersect? (3, 4) is the solution to this system of linear equations.

9
**Graph to solve the linear system.**

-4x – 2y = -12 4x + 8y = -24 Since the equations are in standard form, find the x- and y-intercepts to graph. -4x – 2y = -12 -4x – 2(0) = -12 -4x = -12 x = (3, 0) -4(0) – 2y = -12 -2y = -12 y = (0, 6) 4x + 8y = -24 4x + 8(0) = -24 4x = -24 x = (-6, 0) 4(0) + 8y = -24 8y = -24 y = (0, -3)

10
**Graph to solve the linear system.**

-4x – 2y = -12 Intercepts are (3, 0) & (0, 6) 4x + 8y = Intercepts are (-6, 0) & (0, -3) Where do the lines intersect? (6, -6) is the solution to this system of linear equations.

Similar presentations

Presentation is loading. Please wait....

OK

Big Idea : -Solve systems of linear equations by graphs.

Big Idea : -Solve systems of linear equations by graphs.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Hrm ppt on recruitment Ppt on media research topics Ppt on campus recruitment system Ppt on power system harmonics thesis Ppt on diode circuits Ppt on faculty development programme Ppt on environment safety measures Ppt on instrument landing system for sale Ppt on surface chemistry class 12 Ppt on idiopathic thrombocytopenia purpura signs