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.
Submit
Answer
Final Answer: The equation of the line in point-slope form is \(\boxed{y - 4 = -9(x + 6)}\).
Step 1 ：The point-slope form of a line is given by the equation: \(y - y_1 = m(x - x_1)\) where \(m\) is the slope of the line, and \((x_1, y_1)\) 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: \(y - 4 = -9(x - -6)\)
Step 5 ：Simplifying the equation we get: \(y - 4 = -9(x + 6)\)
Step 6 ：Final Answer: The equation of the line in point-slope form is \(\boxed{y - 4 = -9(x + 6)}\).
