The point-slope equation of a line passing through the point (x₁, y₁) with a slope of m is given by the formula:
y - y₁ = m(x - x₁)
We are given that the point (x1, y1) is (3,-2), and the slope (m) is 3.
Substituting these values into the point-slope formula gives us:
y - (-2) = 3(x - 3)
which simplifies to:
y + 2 = 3(x-3)
So, the point-slope equation of the line passing through the point (3, -2) with a slope of 3 is
y + 2 = 3(x - 3).