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y=−2x+5y=-2x+5 ordered pairs

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Full solution

Q. y=−2x+5y=-2x+5 ordered pairs
  1. Identify Equation: Identify the equation to work with.\newlineThe equation given is y=−2x+5y = -2x + 5. This is a linear equation in slope-intercept form, where the slope is −2-2 and the y-intercept is 55.
  2. Choose Values: Choose values for xx to find corresponding values for yy. Let's choose x=0x = 0 to find the first ordered pair.
  3. Substitute and Solve: Substitute x=0x = 0 into the equation and solve for yy.y=−2(0)+5y = -2(0) + 5y=0+5y = 0 + 5y=5y = 5So, the first ordered pair is (0,5)(0, 5).
  4. Choose Another Value: Choose another value for xx to find a second ordered pair.\newlineLet's choose x=1x = 1 to find the next ordered pair.
  5. Substitute and Solve: Substitute x=1x = 1 into the equation and solve for yy.\newliney=−2(1)+5y = -2(1) + 5\newliney=−2+5y = -2 + 5\newliney=3y = 3\newlineSo, the second ordered pair is (1,3)(1, 3).
  6. Choose Third Value: Choose a third value for xx to find another ordered pair.\newlineLet's choose x=−1x = -1 to find the next ordered pair.
  7. Substitute and Solve: Substitute x=−1x = -1 into the equation and solve for yy.y=−2(−1)+5y = -2(-1) + 5y=2+5y = 2 + 5y=7y = 7So, the third ordered pair is (−1,7)(-1, 7).

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