Problem

A line passes through the point $(9,2)$ and has a slope of $-\frac{4}{3}$.
Write an equation in point-slope form for this line.

Answer

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Answer

Final Answer: The equation of the line in point-slope form is \(\boxed{y - 2 = -\frac{4}{3}(x - 9)}\).

Steps

Step 1 :Given a line passes through the point (9,2) and has a slope of -4/3.

Step 2 :The point-slope form of a line is given by the formula \(y - y_1 = m(x - x_1)\), where \((x_1, y_1)\) is a point on the line and \(m\) is the slope of the line.

Step 3 :Substitute the given point (9,2) and the slope -4/3 into the formula to find the equation of the line.

Step 4 :Final Answer: The equation of the line in point-slope form is \(\boxed{y - 2 = -\frac{4}{3}(x - 9)}\).

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