Download presentation

1
**Graphs & Linear Equations**

Y y=mx+b X

2
**A Point (X,Y) (4,3) • (X,Y) is called an Ordered Pair Y X**

The X value or X Coordinate is the location of a point in the X direction The Y value or Y Coordinate is the location of a point in the Y direction

3
**How to Graph a Point Y (X,Y) (4,2) • 321 X -4-3-2-1 0 1 2 3 4**

X is the distance along the x=axis Y is the distance along the y=axis Y 3210 HINT: Think of the x-axis as the Number Line X -1 -2 HINT: Think of the y-axis a vertical Number Line

4
**Important Vocabulary for Graphs**

The Graph itself is called the x-y plane (ie. Plane surface) or The Coordinate Plane or Cartesian Coordinate Plane after Renee Descartes Y y-axis 2nd Quadrant 1st Quadrant (+X,+Y) (-X,+Y) X x-axis (-X,-Y) (+X,-Y) 3rd Quadrant 4th Quadrant Quadrants start with Positive X & Y and go Counter Clockwise

5
**Graphing Linear Equations (Find 3 Domain & Range Points)**

First Degree Equations are Lines (y=mx+b) and you calculate 3 (X,Y) values Make sure the points line up on a x-y graph and connect the dots.

6
**RECALL X-Domain & Y-Range**

Graphing Lines is just like finding the Range of 3 Domain Points: (Substitute each Domain value into the equation) y = 2x-7 when the Domain is {-2, 0, 2} f(-2) = 2•(-2) -7 = = (-2,-11) f(0) = 2•(0) -7 = 0 -7 = (0,-7) f(2) = 2•(2) -7 = 4 -7 = (2,-3) Answer: RANGE: {-11, -7, -3}

7
**Practice Finding 3 Points Given a Linear Equation**

Find any 3 (X,Y) points for the following equations: y=5x y=4x-5 y=3x+1 (Hint: Try x=0)

8
Sample Solutions x y = 5x 0 0 5 10 x y = 4x-5 x y = 3x+1

9
Now Graph the 3 Points x y = 5x 0 0 5 10 • (2,10) • (1,5) • (0,0)

10
**What is Intercept in Math?**

Y X An Intercept is the coordinate where a line crosses the x or y axis

11
**Using X&Y Intercepts to Graph a Line**

y-axis The Y intercept is the y coordinate (where a line crosses the y axis). • (0,2) • (3,0) X x-axis The X intercept is the x coordinate (where a line crosses the x axis).

12
**Name the X&Y Intercepts**

y-axis • (0,2) • (3,0) X x-axis

13
**Name the X&Y Intercepts**

y-axis • (0,2) • X x-axis (-2,0)

14
**Name the X&Y Intercepts**

y-axis X x-axis

15
**Name the X&Y Intercepts**

y-axis X x-axis

16
**What is the value of x at the y intercept**

What is the value of x at the y intercept? What is the value of Y at the x-intercept? Y y-axis X x-axis

17
**Find the x- and y-intercepts. 1. x - 2y = 12**

x-intercept: Plug in 0 for y. x - 2(0) = 12 x = 12; (12, 0) y-intercept: Plug in 0 for x. 0 - 2y = 12 y = -6; (0, -6)

18
**Find the x- and y-intercepts. 2. -3x + 5y = 9**

x-intercept: Plug in 0 for y. -3x - 5(0) = 9 -3x = 9 x = -3; (-3, 0) y-intercept: Plug in 0 for x. -3(0) + 5y = 9 5y = 9 y = ; (0, )

19
**What is the x-intercept of 3x – 4y = 24?**

(3, 0) (8, 0) (0, -4) (0, -6) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

20
**What is the y-intercept of -x + 2y = 8?**

(-1, 0) (-8, 0) (0, 2) (0, 4) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

21
**Graph y = 2x - 6 using x&y intercepts**

Graph Linear Eq. Graph y = 2x - 6 using x&y intercepts X Y = 2x - 6 1st Make x-y table Y y-axis X x-axis

22
**Graph y = 2x - 6 using x&y intercepts**

Graph Linear Eq. Graph y = 2x - 6 using x&y intercepts X Y = 2x - 6 0 -6 1st Make x-y table 2nd Set x = 0 and solve for y Y y-axis X x-axis • (0,-6)

23
**Graph y = 2x - 6 using x&y intercepts**

Graph Linear Eq. Graph y = 2x - 6 using x&y intercepts X Y = 2x - 6 0 -6 1st Make x-y table 2nd Set x = 0 and solve for y 3rd Set y = 0 and solve for x Y y-axis • (3,0) X x-axis • (0,-6)

24
**Graph y = 2x - 6 using x&y intercepts**

Graph Linear Eq. Graph y = 2x - 6 using x&y intercepts X Y = 2x - 6 0 -6 1st Make x-y table 2nd Set x = 0 and solve for y 3rd Set y = 0 and solve for x 4th Plot these 2 points and draw line Y y-axis • (3,0) X x-axis • (0,-6)

25
**Graph y = 2x - 6 using x&y intercepts**

Graph Linear Eq. Graph y = 2x - 6 using x&y intercepts X Y = 2x - 6 0 -6 4 2 1st Make x-y table 2nd Set x = 0 and solve for y 3rd Set y = 0 and solve for x 4th Plot these 2 points and draw line 5th Use 3rd point to check Y y-axis • (4,2) • (3,0) X x-axis • (0,-6)

26
**Graphing Horizontal & Vertical Lines**

This line has a y value of 4 for any x-value. It’s equation is y = 4 (meaning y always equals 4) Y y-axis X x-axis

27
**Graphing Horizontal & Vertical Lines**

This line has a x value of 1 for any y-value. It’s equation is x = 1 (meaning x always equals 1) Y y-axis X x-axis

28
**The Equation of a Vertical Line is X=Constant**

Y y-axis x = 1 X x-axis

29
**The Equation of a Horizontal Line is Y=Constant**

y-axis y = 3 X x-axis

30
**Graph the following lines**

Y = -4 Y = 2 X = 5 X = -5 X = 0 Y = 0

31
Answers x = -5 x = 5 Y y-axis X x-axis

32
Answers Y y-axis y = 2 X x-axis y = -4

33
Answers Y y-axis y = 0 X x-axis x = 0

Similar presentations

OK

Section 8.2 Points, Lines and Their Graphs. Vocabulary Graph/Plot – an ordered pair or a point in a numbered plane Horizontal Axis – x-axis Vertical Axis.

Section 8.2 Points, Lines and Their Graphs. Vocabulary Graph/Plot – an ordered pair or a point in a numbered plane Horizontal Axis – x-axis Vertical Axis.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Free download ppt on human evolution Ppt on biodiesel in india Ppt on web design and development Ppt on regular expression Ppt on light travels in a straight line Ppt on manufacturing of turbo generators Genetics for kids ppt on batteries Ppt on mind reading computer system Ppt on business etiquettes training dogs Ppt on biodegradable and non biodegradable materials problems