Question

The slope of the line below is -4. Use the coordinates of the labeled point to

find a point-slope equation of the line.
10
(4,-9)
O A. y-9--4(x+4)
O
B. y + 9 = 4(x-4)
O C. y+ 9 = -4(x - 4)
O D. y- 9 = 4(x+4)

Answer 1

C. y + 9 = -4(x - 4)

Explanation:

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

(x₁, y₁) - point on a line

We have the slope m = -4, and the point (4, -9).

Substitute:

`y-(-9)=-4(x-4)\\\\y+9=-4(x-4)`