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How do you write #y - 10 = -(x - 2)# in standard form?

Answer 1

Abigail Allen

The most common definition of "standard form" for a linear equation is #Ax+By=C#

Converting #y-10=-(x-2)# to standard form: #y = -x+2+10# #x+y = 12#

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Answer 2

Hazel Anglin

To write the equation (y - 10 = -(x - 2)) in standard form, you'll want to expand the expression on the right side of the equation and rearrange the terms so that all variables are on one side and constants on the other.

First, distribute the negative sign: [y - 10 = -x + 2]

Next, move the variable terms to one side and the constant terms to the other: [y + x = 2 + 10]

Combine the constant terms: [y + x = 12]

So, the equation in standard form is (x + y = 12).

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Answer 3

Ethan Adkins

To write the equation (y - 10 = -(x - 2)) in standard form, you distribute the negative sign and rearrange the terms:

(y - 10 = -x + 2)

Add (x) to both sides:

(x + y - 10 = 2)

Add 10 to both sides:

(x + y = 12)

Thus, the equation (y - 10 = -(x - 2)) in standard form is (x + y = 12).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.