Write an equation in point-slope form for the given line.

Question

(1 point)
Responses

y − 4 = 13(x − 3)

y − 3 = −13(x − 4)

y − 3 = 13(x − 4)

y − 4 = −13(x − 3)

Answer 1

To write an equation in point-slope form, we use 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.

Let's analyze the given options based on common interpretations of point and slope:

1. Option A: \(y - 4 = 13(x - 3)\) (Here, the point is (3, 4) and slope is 13)
2. Option B: \(y - 3 = -13(x - 4)\) (Here, the point is (4, 3) and slope is -13)
3. Option C: \(y - 3 = 13(x - 4)\) (Here, the point is (4, 3) and slope is 13)
4. Option D: \(y - 4 = -13(x - 3)\) (Here, the point is (3, 4) and slope is -13)

Without specific points and slope provided in your question, I cannot determine the correct answer from the options. Could you provide the slope and a point on the line, or any other details?