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Step-by-step explanation:We can use the point-slope form of a linear equation to write the equation of the line that passes through the point (2,-1) with slope m = -1. The point-slope form is:
y - y1 = m(x - x1)
where (x1, y1) is the given point, and m is the slope. Plugging in the values we have:
y - (-1) = -1(x - 2)
Simplifying and solving for y, we get:
y + 1 = -x + 2
y = -x + 1
Therefore, the equation of the line that passes through (2,-1) with slope m = -1 is y = -x + 1.