ch 7 graphs and linear equations review on graphing
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Ch 7 Graphs and Linear Equations
Review on Graphing
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(x, y)
Coordinate Plane
“origin” (0,0)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(5, 4)
Coordinate Plane
“origin” (0,0)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(5, -4)
Coordinate Plane
“origin” (0,0)
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(-5, -4)
Coordinate Plane
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yOrdered Pair
(-5, 0)
(-5,0)
Coordinates
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
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
yWhat are the coordinates?
Which quadrant?
(1,1)
8
6
4
2
-2
-4
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-10 -5 5 10 x
y
(-3, 3)
What are the coordinates?
Which quadrant?
8
6
4
2
-2
-4
-6
-8
-10 -5 5 10 x
y
(5, -2)
What are the coordinates?
Which quadrant?
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
7.2 Graphing Equations
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.
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
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
Graphing Equations
• Make a Table
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
8
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4
2
-2
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-8
-10 -5 5 10 x
yGraph: y = x yx
8
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-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)
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
8
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-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)
8
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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)
8
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yGraph: 3x - y = 2
yx
3x = y + 23x - 2 = y
•Assignment:
Page 311(2-26 even, 28-31 all)
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