Do Now 5/21/10 Do Now 5/21/10 Take out HW from last night. Take out HW from last night. – Text p. 394, #12-23 all Text p. 394, #12-23 all Copy HW in your planner. Copy HW in your planner. – Text p. 394, #24-31 all (8 graphs); #32- Text p. 394, #24-31 all (8 graphs); #32- 38 evens 38 evens – Quiz sections 8.1 & 8.2 Tuesday Quiz sections 8.1 & 8.2 Tuesday In your notebook, tell whether the In your notebook, tell whether the ordered pair is a solution of the ordered pair is a solution of the equation. equation. (4,-12), (10,-19), (-2,-1) (4,-12), (10,-19), (-2,-1) 3x + 2y 3x + 2y = -8 = -8 no no yes yes yes yes
Do Now 5/21/10. Take out HW from last night. Text p. 394, #12-23 all Copy HW in your planner. Text p. 394, #24-31 all (8 graphs); #32-38 evens Quiz sections 8.1 & 8.2 Tuesday In your notebook, tell whether the ordered pair is a solution of the equation. - PowerPoint PPT Presentation
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Do Now 5/21/10Do Now 5/21/10 Take out HW from last night.Take out HW from last night.
– Text p. 394, #12-23 allText p. 394, #12-23 all
Copy HW in your planner.Copy HW in your planner.– Text p. 394, #24-31 all (8 graphs); #32-38 Text p. 394, #24-31 all (8 graphs); #32-38
In your notebook, tell whether the In your notebook, tell whether the ordered pair is a solution of the ordered pair is a solution of the equation. equation.
SWBAT practice graphing equations SWBAT practice graphing equations in two variables in two variables
An example of an An example of an equation in two equation in two
variablesvariables is is 2x – y = 5. 2x – y = 5.The The solutionsolution of an equation in two of an equation in two variables, variables, x x andand y y, is an ordered pair , is an ordered pair (x, y)(x, y) that produces a true statement that produces a true statement when substituted into the equation. when substituted into the equation.
Section 8.2 “Linear Equations Section 8.2 “Linear Equations in Two Variables”in Two Variables”
22
44
66
88
1010
00 22 44 66 88 1010 1212
y-axisy-axis
x-axisx-axis
((-2-2,,-10-10))
-12-12 -10-10 -8-8 -6-6 -4-4 -2-2
-10-10
-8-8
-6-6
-4-4
-2-2
Graph an EquationGraph an EquationGraph the equation Graph the equation y = 3x - 4y = 3x - 4
xx yy
43 xy
-2-2 -10-10
-1-1 -7-7
((-1-1,,-7-7))
00 -4-4 ((00,,-4-4))
11 -1-1
((11,,-1-1))
22 22
((22,,22))
Graph an EquationGraph an Equation
2y
Solve the equation for y.
STEPSTEP 11
Graph the equation Graph the equation y = 2y = 2..
STEPSTEP 22
Make a table by choosing a few values for x and then finding values for y.
STEPSTEP 33
Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.
x -2 -1 0 1 2
y 2 2 2 2 2
HORIZONTAL LINE y = bHORIZONTAL LINE y = b
Graph an EquationGraph an Equation
1y0x1
1x
Solve the equation for x.
STEPSTEP 11
Graph the equation Graph the equation x = -1x = -1..
STEPSTEP 22
Make a table by choosing a few values for x and then finding values for y.
STEPSTEP 33
Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.
x -1 -1 -1 -1 -1
y -2 -1 0 1 2
VERTICAL LINE x = aVERTICAL LINE x = a
Linear Equation-Linear Equation-an equation whose graph is a linean equation whose graph is a line
Function form-Function form-An equation is in function form An equation is in function form when the equation is solved for when the equation is solved for
y. y.
4x + y = 94x + y = 9
4x + y = 94x + y = 9 y = 9 – 4xy = 9 – 4xSolve the equation for y.
Linear Equation-Linear Equation-an equation whose graph is a linean equation whose graph is a line
Function form-Function form-An equation is in function form An equation is in function form when the equation is solved for when the equation is solved for
y. y.
4x + 3y = 94x + 3y = 9
4x + 3y = 94x + 3y = 9 y = – 4/3x + 3y = – 4/3x + 3Solve the equation for y.
Write the following equations in Write the following equations in function form.function form.
62 yx
xy 62
2
6 xy
xy2
13
32
1 xy
xy3
22
632 yx
xy 263
3
26 xy
23
2 xy
22
44
66
88
1010
00 22 44 66 88 1010 1212
y-axisy-axis
x-axisx-axis
((-2-2,,-10-10))
-12-12 -10-10 -8-8 -6-6 -4-4 -2-2
-10-10
-8-8
-6-6
-4-4
-2-2
Graph an EquationGraph an EquationGraph the equation Graph the equation -3x +-3x + y = -4y = -4..
xx yy
xy 34
-2-2 -10-10
-1-1 -7-7
((-1-1,,-7-7))
00 -4-4((00,,-4-4))
11 -1-1
((11,,-1-1))
22 22
((22,,22))
43 yxWrite in function form
22
44
66
88
1010
00 22 44 66 88 1010 1212
y-axisy-axis
x-axisx-axis
((-4-4,,-8-8))
-12-12 -10-10 -8-8 -6-6 -4-4 -2-2
-10-10
-8-8
-6-6
-4-4
-2-2
Graph an EquationGraph an EquationGraph the equation Graph the equation -3x + 2y = -4-3x + 2y = -4..
x y
xy2
32
-4-4 -8-8
-2-2 -5-5((-2-2,,-5-5))00 -2-2
((00,,-2-2))
22 11
((22,,11))
44 44
((44,,44))
423 yxWrite in function form
Graph an EquationGraph an Equation
42 xy
xy 24
Solve the equation for y.
STEPSTEP 11
Graph the equation Graph the equation y + 2x = 4y + 2x = 4..
STEPSTEP 22
Make a table by choosing a few values for x and then finding values for y.
STEPSTEP 33
Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.
xx -2-2 -1-1 00 11 22
yy 88 66 44 22 00
Graph an EquationGraph an Equation
3yx2
32 xy
Solve the equation for y.
STEPSTEP 11
Graph the equation Graph the equation -2x + y = -3-2x + y = -3..
STEPSTEP 22
Make a table by choosing a few values for x and then finding values for y.
STEPSTEP 33
Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.
xx -2-2 -1-1 00 11 22
yy -7-7 -5-5 -3-3 -1-1 11
HomeworkHomework
Text p. 394, #24-31 all (8 Text p. 394, #24-31 all (8 graphs); #32-38 evensgraphs); #32-38 evens