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Use the equation to complete the table. Use the table to list some of the ordered pairs that satisfy the equation.

y=-3x+2

Use the equation to complete the table. Use the table to list some of the ordered pairs that satisfy the equation.\newliney=3x+2 y=-3 x+2

Full solution

Q. Use the equation to complete the table. Use the table to list some of the ordered pairs that satisfy the equation.\newliney=3x+2 y=-3 x+2
  1. Understand the equation: Understand the equation.\newlineThe equation y=3x+2y = -3x + 2 is a linear equation representing a straight line on the coordinate plane. To find ordered pairs that satisfy the equation, we can choose values for xx and then calculate the corresponding yy values.
  2. Choose xx values: Choose values for xx. Let's choose xx values of 1-1, 00, 11, and 22 to create a table of values.
  3. Calculate yy for x=1x=-1: Calculate the corresponding yy values when x=1x = -1. Substitute x=1x = -1 into the equation to find yy. y=3(1)+2y = -3(-1) + 2 y=3+2y = 3 + 2 y=5y = 5 The ordered pair for x=1x = -1 is x=1x=-100.
  4. Calculate yy for x=0x=0: Calculate the corresponding yy values when x=0x = 0. Substitute x=0x = 0 into the equation to find yy. y=3(0)+2y = -3(0) + 2 y=0+2y = 0 + 2 y=2y = 2 The ordered pair for x=0x = 0 is x=0x=000.
  5. Calculate yy for x=1x=1: Calculate the corresponding yy values when x=1x = 1. Substitute x=1x = 1 into the equation to find yy. y=3(1)+2y = -3(1) + 2 y=3+2y = -3 + 2 y=1y = -1 The ordered pair for x=1x = 1 is x=1x=100.
  6. Calculate yy for x=2x=2: Calculate the corresponding yy values when x=2x = 2. Substitute x=2x = 2 into the equation to find yy. y=3(2)+2y = -3(2) + 2 y=6+2y = -6 + 2 y=4y = -4 The ordered pair for x=2x = 2 is x=2x=200.

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