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A line goes through the point (5,-7) and has a slope m= -3. Write the equation that represents the line (show work).

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Using point slope formula, y- y1 = m(x - x2)
y - -7 = -3( x - 5)
y + 7 = -3(x - 5)

If the answer needs to be in slope intercept form multiply the -3 by x and -5

y + 7 = -3x +15
Subtract 7 from both sides
y = -3x + 8

The equation that represents the line y = -3x + 8

The slope intercept equation is represented as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

m = -3

y = -3x + b

using (5,-7)

-7 = -3(5) + b

-7 = -15 + b

b = -7 + 15

b = 8

Therefore,

y = -3x + 8

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