Final answer:
To convert y = 7(x - 2) + 3 into standard form, distribute the multiplication, simplify, and rearrange the terms to get -7x + y = -11, which is the standard form of the equation.
Step-by-step explanation:
The equation y = 7(x - 2) + 3 can be written in standard form by re-arranging the terms and getting rid of parentheses. Standard form is often written as Ax + By = C where A, B, and C are integers, and A should be non-negative.
Here's the step-by-step explanation:
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- Distribute the multiplication inside the parentheses: y = 7x - 14 + 3.
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- Modify the equation: y = 7x - 11.
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- Move all the terms involving variables to the left side and constant terms to the right, changing the equation to its standard form: -7x + y = -11.
Remember to keep the 'x' coefficient positive, if possible, when writing in standard form.