Question

What is the point-slope equation of a line with slope -5 that contains the point (6, 3)

A. y+3=-5(x+6)
B. y-3=-5(x-6)
C. y+3=-5(x-6)
D. y-3=-5(x+6)

Answer 1

`\large\boxed{B.\ y-3=-5(x-6)}`

Explanation:

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

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

m - slope

(x₁, y₁) - point

We have the slope m = -5 and the point (6, 3). Substitute:

`y-3=-5(x-6)`