Problem

1) A line has a slope of 0 and passes through the point $(9,-4)$. Write its equation in slopeintercept form.
1) Write your answer using integers, proper fractions, and improper fractions in simplest form.
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Answer

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Answer

Final Answer: The equation of the line in slope-intercept form is \(\boxed{y = -4}\).

Steps

Step 1 :The slope-intercept form of a line is given by the equation \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 2 :Since the slope of the line is 0, the equation of the line becomes \(y = 0*x + b\) or simply \(y = b\).

Step 3 :To find the value of \(b\), we can substitute the coordinates of the given point into the equation. The given point is \((9, -4)\), so \(x = 9\) and \(y = -4\).

Step 4 :Substituting these values into the equation gives us \(b = -4\).

Step 5 :Final Answer: The equation of the line in slope-intercept form is \(\boxed{y = -4}\).

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