Question

A line has a slope of −5 and contains the point (−2, 4).

Which equations represent the line?

Choose ALL answers that are correct.

A.
−5x + y = −6

B.
5x + y = −6

C.
(y – 4) = −5(x + 2)

D.
(y + 4) = −5(x − 2)

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)`
m - the slope, (x₁,y₁) - the coordinates of a point


`m=-5 \\ x_1=-2 \\ y_1=4 \\ \\ y-4=-5(x-(-2)) \\ \boxed{(y-4)=-5(x+2)} \\ \\ y-4=-5(x+2) \\ y-4=-5x-10 \\ 5x+y=-10+4 \\ \boxed{5x+y=-6}`

The answer is B and C.