Question

Write the point-slope form of the line for the following situation:

Given points (2, 7) and a slope (m) of -4.
A. y - 7 = -4(x - 2)
B. y + 7 = -4(x + 2)
C. y - 2 = -4(x - 7)
D. y + 2 = -4(x + 7)

Answer 1

The point-slope form of the line is y - 7 = -4(x - 2).

Step-by-step explanation:

The point-slope form of a linear equation is given by 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 given point is (2, 7) and the slope is -4.

Substituting these values into the point-slope form, we get y - 7 = -4(x - 2).

Hence, the correct answer is Option A: y - 7 = -4(x - 2)