What is y=-18x+13 in standard form?
Some authors consider
18x + y = 13 to be "standard" form , and
18x + y - 13 = 0 to be "general" form
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To convert the equation y = -18x + 13 into standard form, we will rearrange the equation to have the form Ax + By = C, where A, B, and C are integers.
1. Start with the given equation: y = -18x + 13.
2. Move the term with x to the left side by adding 18x to both sides: 18x + y = 13.
3. Now the equation is in the form Ax + By = C with A = 18, B = 1, and C = 13.
4. The standard form of the equation is: 18x + y = 13.
To rewrite the equation y = -18x + 13 in standard form, we need to rearrange the equation to represent it in the form Ax + By = C, where A, B, and C are constants.
Here's how we can do that:
Step 1: Start with the given equation: y = -18x + 13
Step 2: Move all terms to one side of the equation to set it equal to zero:
-18x - y + 13 = 0
Step 3: Multiply the entire equation by -1 to make the coefficient of x positive (optional but commonly observed in standard form):
18x + y - 13 = 0
Step 4: Arrange the terms in descending order:
18x + y = 13
Therefore, the equation y = -18x + 13 in standard form is 18x + y = 13.