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Slope = -3; passes through (4, -7)

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Equation of a line is y = mx + c

where m = slope = -3

x = 4

y = -7

c = y-intercept

Substituting into the equation

-7 = -3(4) + c

-7 = -12 +c

c = 12 -7

c = 5

So the required equation of the line is

y = -3x + 5

or

y = 5 -3x

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