Question

The point-slope form of the line with a slope of -4 is:

A) y - 8 = -4(x + 2)
B) y + 2 = -4(x - 8)
C) y - 2 = -4(x + 8)
D) y + 8 = -4(x - 2)

Answer 1

The point-slope form of the line with a slope of -4 is y - 8 = -4(x + 2).

Step-by-step explanation:

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

In this case, the given slope is -4. So, we can choose any point on the line. Let's choose the point (-2, 8).

Substituting the values into the equation, we get y - 8 = -4(x + 2).

Therefore, the point-slope form of the line with a slope of -4 is y - 8 = -4(x + 2) (option A).