Answered

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)

Verified Answer :

naǫ

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.

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