Question

Write an equation in point-slope form given the following:

Slope: -2
Point: (4, -1)
Which equation in point-slope form is correct?
A) y + 1 = -2(x + 4)
B) y - 1 = -2(x + 4)
C) y - 1 = -2(x - 4)
D) y + 1 = -2(x - 4)

Answer 1

The equation in point-slope form is y + 1 = -2(x + 4)

Step-by-step explanation:

The equation in point-slope form can be written as y - y1 = m(x - x1), where (x1, y1) is the given point and m is the given slope.

In this case, the point is (4, -1) and the slope is -2.

Substituting these values into the point-slope form equation, we get y - (-1) = -2(x - 4), which simplifies to y + 1 = -2(x - 4).

Therefore, the correct equation in point-slope form is B) y + 1 = -2(x + 4).