HistoryIsMyThing
Answered

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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)

Sagot :

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.