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Do Now 5/21/10

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.

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Do Now 5/21/10

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  1. 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. (4,-12), (10,-19), (-2,-1) 3x + 2y = -8 no yes yes

  2. 12) no 13) yes 14) yes 15) no 16) yes 17) yes 18) yes 19) no Homework Text p. 394, #12-23 all • 20) yes • 21) yes • 22) no • 23) yes

  3. Objective • SWBAT practice graphing equations in two variables

  4. Section 8.2 “Linear Equations in Two Variables” An example of an equation in two variables is 2x – y = 5. The solution of an equation in two variables, x and y, is an ordered pair (x, y) that produces a true statement when substituted into the equation.

  5. Graph an Equation Graph the equation y = 3x - 4 y-axis 10 8 6 4 -2 -10 (2,2) 2 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 -1 -7 x-axis -2 (1,-1) 0 -4 (0,-4) -4 1 -1 -6 2 2 (-1,-7) -8 -10 (-2,-10)

  6. Graph an Equation Graph the equation y = 2. HORIZONTAL LINE y = b STEP2 STEP3 STEP1 Solve the equation for y. Make a table by choosing a few values for x and then finding values for y. Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.

  7. Graph an Equation Graph the equation x = -1. VERTICAL LINE x = a STEP2 STEP3 STEP1 Solve the equation for x. Make a table by choosing a few values for x and then finding values for y. Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.

  8. an equation whose graph is a line Linear Equation- 4x + y = 9 Function form- An equation is in function form when the equation is solved for y. 4x + y = 9 y = 9 – 4x Solve the equation for y.

  9. an equation whose graph is a line Linear Equation- 4x + 3y = 9 Function form- An equation is in function form when the equation is solved for y. 4x + 3y = 9 y = – 4/3x + 3 Solve the equation for y.

  10. Write the following equations in function form.

  11. Graph an Equation Graph the equation -3x +y = -4. y-axis 10 8 Write in function form 6 4 (2,2) 2 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 -2 -10 x-axis -2 (1,-1) -1 -7 (0,-4) -4 0 -4 -6 1 -1 (-1,-7) -8 2 2 -10 (-2,-10)

  12. Graph an Equation Graph the equation -3x + 2y = -4. y-axis 10 Write in function form 8 6 (4,4) 4 2 (2,1) -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 x-axis -4 -8 (0,-2) -2 -2 -5 -4 (-2,-5) 0 -2 -6 -8 2 1 (-4,-8) -10 4 4

  13. Graph an Equation Graph the equation y + 2x = 4. STEP2 STEP3 STEP1 Solve the equation for y. Make a table by choosing a few values for x and then finding values for y. Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.

  14. Graph an Equation Graph the equation -2x + y = -3. STEP2 STEP3 STEP1 Solve the equation for y. Make a table by choosing a few values for x and then finding values for y. Plot the points. Notice the points appear on a line. Connect the points drawing a line through them.

  15. Homework Text p. 394, #24-31 all (8 graphs); #32-38 evens

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