Question

Given m = 1/2 and the point (-8, 1), what is the point-slope form of the given information?

A) y - 8 = 1/2 (x - 1)
B) y - 1 = 1/2 (x + 8)
C) y - 1 = 1/2 (x - 8)
D) y + 8 = 1/2 (x - 1)

Answer 1

The point-slope form of the equation is y - 1 = 1/2 (x + 8).

Step-by-step explanation:

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. In this case, the given slope is 1/2 and the given point is (-8, 1). Therefore, substituting these values into the point-slope form, we have:

y - 1 = 1/2 (x + 8)

So, the correct answer is Option B) y - 1 = 1/2 (x + 8).