A line passes through the point (3,1) and has a slope of -3
Using the point-slope form of a linear equation, we have:
y - y1 = m(x - x1)
where (x1, y1) = (3,1) is the given point and m = -3 is the slope.
Substituting these values into the equation, we get:
y - 1 = -3(x - 3)
Expanding and simplifying,
y - 1 = -3x + 9
y = -3x + 10
Therefore, the equation of the line passing through the point (3,1) with slope -3 is y = -3x + 10.