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Determine the standard form of the following equation:\newliney=10x+7 y = -10x + 7

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Q. Determine the standard form of the following equation:\newliney=10x+7 y = -10x + 7
  1. Step 11: Rearrange equation: To convert the equation to standard form, we need to rearrange it so that it fits the format Ax+By=CAx + By = C. We will start by adding 10x10x to both sides of the equation to move the x-term to the left side.\newliney=10x+7y = -10x + 7\newliney+10x=7y + 10x = 7
  2. Step 22: Write equation in standard form: Now, we need to write the equation with the xx-term first, followed by the yy-term, to match the standard form Ax+By=CAx + By = C.\newline10x+y=710x + y = 7
  3. Step 33: Check coefficients: We should check that the coefficients AA, BB, and CC are integers whose greatest common factor (GCF) is 11. In this case, the coefficients are 1010, 11, and 77. The GCF of 1010 and 11 is 11, and since 77 is a prime number, the GCF of all three coefficients is 11.

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