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