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 :

iGreen

Plug them into point-slope form.

y - y1 = m(x - x1)

Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.

Plug in what we know:

y - 4 = -5(x + 2)

So one of our answers is C.

Now distribute -5 into the parenthesis:

y - 4 = -5x - 10

Add 4 to both sides:

y = -5x - 6

Add 5x to both sides:

5x + y = -6

So the other answer is B.