Problem

L.15 Point-slope form: write an equation PPE
A line with a slope of -9 passes through the point (6,4). What is its equation in point-slope form?

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
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Answer

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Answer

Final Answer: The equation of the line in point-slope form is y4=9(x+6).

Steps

Step 1 :The point-slope form of a line is given by the equation: yy1=m(xx1) where m is the slope of the line, and (x1,y1) is a point on the line.

Step 2 :In this case, we are given that the slope m is -9, and the point (6,4) is on the line.

Step 3 :We can substitute these values into the equation to find the equation of the line.

Step 4 :Substituting the values we get: y4=9(x6)

Step 5 :Simplifying the equation we get: y4=9(x+6)

Step 6 :Final Answer: The equation of the line in point-slope form is y4=9(x+6).

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