Ch 7 Graphs and Linear Equations Review on Graphing.
-
Upload
frederick-norton -
Category
Documents
-
view
219 -
download
0
Transcript of Ch 7 Graphs and Linear Equations Review on Graphing.
![Page 1: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/1.jpg)
Ch 7 Graphs and Linear Equations
Review on Graphing
![Page 2: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/2.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(x, y)
Coordinate Plane
“origin” (0,0)
![Page 3: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/3.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(5, 4)
Coordinate Plane
“origin” (0,0)
![Page 4: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/4.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(5, -4)
Coordinate Plane
“origin” (0,0)
![Page 5: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/5.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(-5, -4)
Coordinate Plane
![Page 6: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/6.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(-5, 0)
(-5,0)
Coordinates
![Page 7: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/7.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yGraph (0, 6)
(0,6)
quadrants
first
quadrant
second
quadrant
third
quadrant
fourth
quadrant
Not in a quadrant if on either axis
![Page 8: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/8.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yWhat are the coordinates?
Which quadrant?
(1,1)
![Page 9: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/9.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
(-3, 3)
What are the coordinates?
Which quadrant?
![Page 10: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/10.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
(5, -2)
What are the coordinates?
Which quadrant?
![Page 11: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/11.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
(0, -5)
What are the coordinates?
Which quadrant?
Not in a quadrant if on either axis
![Page 12: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/12.jpg)
7.2 Graphing Equations
![Page 13: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/13.jpg)
Determine if the ordered pair is a solution of the equation.
y = 2x + 1
(3 , 7 )
7 = 2(3) + 1YES
The ordered pair (3,7) is a solution.
![Page 14: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/14.jpg)
Determine if the ordered pair is a solution of the equation.
4y - 3x = 22(-2 , 4 )
4(4) – 3 (-2)= 22
YES
The ordered pair (-2,4) is a solution.
16 + 6 = 22
![Page 15: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/15.jpg)
Determine if the ordered pair is a solution of the equation.
y - 3x = -2(-2 , 8 )
(8) – 3 (-2)= -2 ???
NO
The ordered pair (-2,8) is not a solution.
8 + 6 -2
![Page 16: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/16.jpg)
Graphing Equations
• Make a Table
![Page 17: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/17.jpg)
Making a Table
1. Solve the equation in y = format (slope intercept form)
2. Pick your x values (-1, 0,1) unless slope is a fraction and y-intercept is not
3. Plug in the x values into x in the equation to find the corresponding y values
4. Plot the (x, y) ordered pairs on the coordinate plane
![Page 18: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/18.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yGraph: y = x yx
![Page 19: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/19.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yFind 3 solutions
y = 2x + 1
X Values Y=2x + 1 Y Values (x,y)
1
0
-1
2(1) +1 3 (1,3)
2(0) +1 1 (0,1)
2(-1) +1 -1 (-1,-1)
![Page 20: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/20.jpg)
Solve for ‘y’9 3 20x y
Solve for ‘y’ means “get y all by itself”
9x 9x3 9 20x y
203
3x y
3 3 3
![Page 21: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/21.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yGraph:
-2x + y = 5y = 2x + 5
X Y=2x +5 Y (x,y)
1
0
-1
2(1) +5 7 (1,7)
2(0) +5 5 (0,5)
2(-1)+5 3 (-1,3)
![Page 22: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/22.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yGraph: -2x + 3y = 15 3y = 2x + 15
2 15
3
xy
Y=2/3x +5x Y=2/3x +5 y (x,y)
3
0
-3
(2/3)(3) +5 7 (3,7)
(2/3) (0) +5 5 (0,5)
(2/3)(-3)+5 3 (-3,3)
![Page 23: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/23.jpg)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yGraph: 3x - y = 2
yx
3x = y + 23x - 2 = y
![Page 24: Ch 7 Graphs and Linear Equations Review on Graphing.](https://reader035.fdocuments.us/reader035/viewer/2022062314/56649eff5503460f94c155e5/html5/thumbnails/24.jpg)
•Assignment:
Page 311(2-26 even, 28-31 all)
-