Question

The slope of the line below is -5. Which of the following is the point-slope

form of the line?
A. y + 7 = -5(x-2)
B. y+ 7 = 5(x-2)
C. y-7 = -5(x+2)
D. y-7= 5(x + 2)
-10
(2,-7)
10

Answer 1

A

Step-by-step explanation:

To determine the point-slope form of a line, we need a point on the line and the slope of the line. Given the slope of -5 and the point (2, -7), we can use the point-slope form of a linear equation:

y - y1 = m(x - x1), -> this is point slope form

where (x1, y1) represents the coordinates of the given point, and m represents the slope.

Substituting the values into the equation, we have:

y - (-7) = -5(x - 2).

Simplifying this equation, we get:

y + 7 = -5(x - 2).

Thus, the point-slope form of the line is A. y + 7 = -5(x - 2).