Question

Given the line and a point on the line, what is the equation of the line in point-slope form?

A) y - (-1) = -3(x - 5)
B) y + (-1) = -3(x - 5)
C) y - (-1) = -3(x + 5)
D) y + (-1) = -3(x + 5)'

Answer 1

The equation of a line in point-slope form can be determined using the given slope and a point on the line. The correct equation of the line in this case is y + 1 = 3(x - 5).

Step-by-step explanation:

The equation of a line in point-slope form is given by the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

In this case, the equation of the line in point-slope form can be determined using the given slope of 3 and a point on the line. Let's assume the point on the line is (5, -1). Plugging in the values, we get: y - (-1) = 3(x - 5), which simplifies to y + 1 = 3(x - 5).

Therefore, the correct equation of the line in point-slope form is y + 1 = 3(x - 5), which corresponds to option B.