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Which of the following points (x,y) lies on the graph of 8x+2y=24? (-1,8) (2,8) (6,-12) (8,2)

Which of the following points (x,y) (x, y) lies on the graph of 8x+2y=24? 8 x+2 y=24 ? \newline(−1,8) (-1,8) \newline(2,8) (2,8) \newline(6,−12) (6,-12) \newline(8,2) (8,2)

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Q. Which of the following points (x,y) (x, y) lies on the graph of 8x+2y=24? 8 x+2 y=24 ? \newline(−1,8) (-1,8) \newline(2,8) (2,8) \newline(6,−12) (6,-12) \newline(8,2) (8,2)
  1. Substitute First Point: Step 11: Substitute the coordinates of the first point (−1,8)(-1,8) into the equation 8x+2y=248x + 2y = 24.\newlineCalculation: 8(−1)+2(8)=−8+16=88(-1) + 2(8) = -8 + 16 = 8.
  2. Check First Point: Step 22: Since 8≠248 \neq 24, the point (−1,8)(-1,8) does not lie on the graph.
  3. Substitute Second Point: Step 33: Substitute the coordinates of the second point (2,8)(2,8) into the equation 8x+2y=248x + 2y = 24.\newlineCalculation: 8(2)+2(8)=16+16=328(2) + 2(8) = 16 + 16 = 32.
  4. Check Second Point: Step 44: Since 32≠2432 \neq 24, the point (2,8)(2,8) does not lie on the graph.
  5. Substitute Third Point: Step 55: Substitute the coordinates of the third point (6,−12)(6,-12) into the equation 8x+2y=248x + 2y = 24.\newlineCalculation: 8(6)+2(−12)=48−24=248(6) + 2(-12) = 48 - 24 = 24.
  6. Check Third Point: Step 66: Since 24=2424 = 24, the point (6,−12)(6,-12) lies on the graph.

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