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Rewrite the following equation in slope-intercept form: 7x+7y=−13. Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Final answer:

To rewrite the equation 7x+7y=-13 in slope-intercept form, we need to isolate y on one side. Dividing both sides by 7, we get y = -x - 13/7.

Step-by-step explanation:

To rewrite the given equation in slope-intercept form, we need to isolate the variable y on one side of the equation.

Starting with the equation 7x+7y=-13, we can rearrange it by subtracting 7x from both sides:

7y = -7x - 13

Next, we divide both sides of the equation by 7 to solve for y:

y = (-7/7)x - 13/7

Simplifying, we have y = -x - 13/7. This is the equation in slope-intercept form, where the slope is -1 and the y-intercept is -13/7.

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