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Viktor [21]
3 years ago
9

What is the equation of the line that passes through the point (-4,4) and has a slope of -3

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer: y-4=-3(x+4) or y=-3x-8

Step-by-step explanation:

To find the equation of the line with a given point and slope, we can fill them into the point-slope formula. The point-slope formula is y-y₁=m(x-x₁).

y-4=-3(x-(-4))            [multiply]

y-4=-3(x+4)

Another equation could be slope-intercept form. It is y=mx+b.

y-4=-3(x+4)              [distribute]

y-4=-3x-12                [add both sides by 4]

y=-3x-8

Now, we know that the equation is y=-3x-8 or y-4=-3(x+4).

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3 years ago
30 POINTS FOR SIMPLE QUESTION
Komok [63]

-4 = y + 3


y = -4x - 3


 Solve for Y in the first equation:

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y = -7

Now using the addition method:

rewrite the second equation as 4x+y = -3


Multiply y = -7 by - 1 to get -y = 7

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Divide each side by 4:

x = 4/4 = 1


Then replace x in one of the equations to solve for y which is -7

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