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Hello there, hope you are having a nice day.
We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:
y-7=-3(x-(-1)
y-7=-3(x+1)
y-7=-3x-3
Now, we move -7 to the right side, using the opposite operation:
y=-3x-3+7
y=-3x+4
This is the equation of our line. Hope it helps.
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