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(7) Write the equation of a line that has a slope of -5 and passes through the point (2, -137

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In order to find the equation of the line, take into account that the general form of the expression of the line can be written as follow:

y - yo = m(x - xo)

where m is the slope and (xo,yo) is a point of the line.

in this case you have m = -5 and (xo,yo) = (2,-137). Replace the previous values into the general expression of the line and solve for y:

y - (-137) = -5(x - 2)

y + 137 = -5x + 10

y = -5x + 10 - 137

y = -5x - 127

Hence, the equation of the line is y = -5x - 127

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