Question

ine CD passes through (0, 1) and is parallel to x + y = 3. Write the standard form of the equation of line CD.

Answer 1

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Answer:

Your answer would be x + y = 1

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Explanation:

In this scenario, we know that the line of CD passes through the coordinates (0,1), and would also be parallel to the equation x + y = 3.

When two lines are parallel, that means that their slopes are equal.

The slope of the line must be:

`x + y = 3`

Move the x to the other side by subtracting

`y= -x + 3`

The slope for the equation would be -1, since there is a invisible one after the equal sign. When there's no other number there, it would be 1.

The slope of the line CD would be -1.

Now, we would need to plug in -1 into the equation, to find the standard form.

`(y - 1) = m(x - 0)\\\\(y-1)=-1(x)\\\\x+y=1`

`x + y = 1` should be your FINAL answer.

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